1000410_5_TRACOL3 (2)
description
Transcript of 1000410_5_TRACOL3 (2)
![Page 1: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/1.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 1/206
![Page 2: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/2.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 2/206
Trabajo colaborativo 3
![Page 3: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/3.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 3/206
![Page 4: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/4.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 4/206
![Page 5: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/5.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 5/206
![Page 6: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/6.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 6/206
![Page 7: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/7.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 7/206
![Page 8: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/8.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 8/206
![Page 9: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/9.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 9/206
![Page 10: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/10.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 10/206
Unidad 3 Cálculo Diferencial
![Page 11: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/11.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 11/206
![Page 12: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/12.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 12/206
Escuela de Ciencias B
![Page 13: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/13.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 13/206
á
![Page 14: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/14.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 14/206
sicas, tecnolog
![Page 15: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/15.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 15/206
í
![Page 16: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/16.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 16/206
a e Ingenier
![Page 17: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/17.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 17/206
í
![Page 18: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/18.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 18/206
a
![Page 19: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/19.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 19/206
![Page 20: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/20.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 20/206
![Page 21: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/21.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 21/206
![Page 22: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/22.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 22/206
![Page 23: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/23.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 23/206
Universidad Nacional Abierta y Distancia UNAD
![Page 24: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/24.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 24/206
![Page 25: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/25.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 25/206
![Page 26: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/26.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 26/206
![Page 27: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/27.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 27/206
![Page 28: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/28.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 28/206
![Page 29: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/29.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 29/206
Presentado a !utor" Cristian David Ca#ac$o
![Page 30: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/30.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 30/206
![Page 31: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/31.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 31/206
![Page 32: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/32.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 32/206
![Page 33: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/33.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 33/206
![Page 34: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/34.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 34/206
%ru&o '(()'(*+
![Page 35: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/35.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 35/206
![Page 36: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/36.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 36/206
![Page 37: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/37.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 37/206
![Page 38: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/38.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 38/206
![Page 39: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/39.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 39/206
![Page 40: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/40.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 40/206
![Page 41: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/41.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 41/206
![Page 42: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/42.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 42/206
![Page 43: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/43.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 43/206
![Page 44: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/44.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 44/206
$aron aray Cano -ora C.D '(/0+()0/ 1 Angela Adriana Da2a ate C.D"+/4'355)
![Page 45: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/45.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 45/206
![Page 46: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/46.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 46/206
![Page 47: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/47.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 47/206
![Page 48: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/48.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 48/206
-ayo /('+"
![Page 49: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/49.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 49/206
![Page 50: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/50.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 50/206
![Page 51: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/51.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 51/206
![Page 52: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/52.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 52/206
![Page 53: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/53.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 53/206
![Page 54: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/54.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 54/206
![Page 55: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/55.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 55/206
![Page 56: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/56.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 56/206
![Page 57: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/57.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 57/206
![Page 58: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/58.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 58/206
![Page 59: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/59.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 59/206
![Page 60: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/60.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 60/206
Co&yrig$t 6 /('+ &or $aron aray Cano -ora 1 Angela Adriana Da2a ate
![Page 61: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/61.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 61/206
![Page 62: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/62.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 62/206
![Page 63: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/63.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 63/206
![Page 64: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/64.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 64/206
![Page 65: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/65.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 65/206
![Page 66: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/66.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 66/206
![Page 67: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/67.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 67/206
Abstract
En este docu#ento encontrare#os una serie de e7ercicios resueltos, &ara evidenciar, laa&ro&iaci8n de conce&tos corres&ondientes, a la unidad 3 9Analisis de las derivadas y susa&licaciones:, del curso Calculo Diferencial"
![Page 68: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/68.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 68/206
![Page 69: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/69.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 69/206
![Page 70: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/70.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 70/206
Contenido
Introducci8n """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" +
.b7etivos """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 0 E7ercicio ' """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 5 E7ercicio / """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 5 E7ercicio 3 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ; E7ercicio ) """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" 4 E7ercicio + """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" '( E7ercicio 0 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" '(
E7ercicio 5 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" '/ E7ercicio ; """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ') E7ercicio 4 """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ') E7ercicio '( """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" '+ Conclusiones """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" '5 <ista de referencias """"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" ';
![Page 71: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/71.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 71/206
![Page 72: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/72.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 72/206
![Page 73: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/73.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 73/206
Introducción
En esta actividad a&licare#os el conoci#iento ad=uirido durante el curso de cálculo diferencial,llevándolo al desarrollo de e7ercicios &rácticos, y situaciones cotidianas, &ara de esta #anera darsoluci8n a los e7ercicios &ro&uestos<os e7ercicios desarrollados a lo largo de este traba7o, a&lican los conce&tos generales del calculointegral , &artiendo del estudio de las &ro&iedades de los i#ites, el lí#ite de las funciones, yasíntotas y la continuidad de los li#ites"
![Page 74: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/74.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 74/206
![Page 75: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/75.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 75/206
![Page 76: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/76.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 76/206
Objetivos
General
Evidenciar la a&ro&iaci8n de los conce&tos corres&ondientes a la unidad 3, del curso de cálculoDiferencial"
Específicos
A&licar el cálculo diferencial en la soluci8n de los e7ercicios &ro&uestos
Desarrollar los e7ercicios &ro&uestos, a trav>s de la a&licaci8n de lí#ites y derivadas" ?ortalecer los conce&tos de la unidad 3" ?ortalecer en los estudiantes los conoci#ientos del curso a trav>s de e7ercicios &rácticos, =uere=uieran la soluci8n a trav>s del cálculo diferencial Desarrollar en los estudiantes del curso análisis crítico en el &lantea#iento y soluci8n de#odelos #ate#áticos basados en los lí#ites y la continuidad a trav>s de los &roble#as &lanteados en el traba7o colaborativo"
![Page 77: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/77.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 77/206
![Page 78: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/78.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 78/206
![Page 79: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/79.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 79/206
@allar la ecuaci8n de la recta tangente a la curva
Ejercicio 1
/,':"/3'9:///9':/(y&arafy
Ejercicio 2
![Page 80: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/80.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 80/206
![Page 81: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/81.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 81/206
![Page 82: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/82.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 82/206
)),)3,3)/3,3;3,3;,/:"'9:ln),,9':9(":9)"':9:)9:)9:)9:)9':9:)9':9':9':));sif$allarfffff
![Page 83: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/83.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 83/206
![Page 84: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/84.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 84/206
![Page 85: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/85.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 85/206
![Page 86: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/86.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 86/206
![Page 87: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/87.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 87/206
![Page 88: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/88.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 88/206
![Page 89: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/89.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 89/206
![Page 90: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/90.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 90/206
![Page 91: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/91.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 91/206
![Page 92: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/92.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 92/206
![Page 93: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/93.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 93/206
![Page 94: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/94.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 94/206
![Page 95: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/95.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 95/206
![Page 96: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/96.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 96/206
Ejercicio 3
3"
egla de la cadena ( )
egla de &otencia
i#&lifica#os
egla de la cadena
egla de derivaci8n
![Page 97: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/97.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 97/206
![Page 98: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/98.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 98/206
![Page 99: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/99.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 99/206
![Page 100: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/100.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 100/206
![Page 101: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/101.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 101/206
![Page 102: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/102.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 102/206
![Page 103: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/103.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 103/206
![Page 104: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/104.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 104/206
![Page 105: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/105.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 105/206
![Page 106: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/106.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 106/206
![Page 107: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/107.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 107/206
![Page 108: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/108.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 108/206
![Page 109: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/109.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 109/206
![Page 110: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/110.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 110/206
![Page 111: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/111.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 111/206
![Page 112: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/112.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 112/206
egla de derivaci8n
i#&lificar
ustituir en la ecuaci8n
ustituir en la ecuaci8n
i#&lificar
Ejercicio 4
)"
( )
acar la constante ( )
egla de cociente
A&licar regla de &otencias
![Page 113: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/113.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 113/206
![Page 114: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/114.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 114/206
![Page 115: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/115.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 115/206
i#&lificar
Ejercicio 5
+"
![Page 116: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/116.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 116/206
( )
egla de derivaci8n
egla de derivaci8n
i#&lificar
Derivadas de orden su&erior
Ejercicio
! @allar la tercera derivada de
( )
acar la constante
egla de la cadena
egla de derivaci8n
Constante
i#&lificar
ustituir en la ecuaci8n u/
i#&lificar
Constante
egla de la cadena
![Page 117: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/117.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 117/206
![Page 118: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/118.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 118/206
![Page 119: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/119.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 119/206
![Page 120: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/120.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 120/206
![Page 121: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/121.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 121/206
![Page 122: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/122.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 122/206
![Page 123: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/123.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 123/206
![Page 124: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/124.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 124/206
![Page 125: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/125.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 125/206
![Page 126: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/126.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 126/206
![Page 127: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/127.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 127/206
![Page 128: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/128.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 128/206
![Page 129: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/129.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 129/206
![Page 130: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/130.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 130/206
![Page 131: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/131.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 131/206
![Page 132: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/132.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 132/206
![Page 133: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/133.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 133/206
![Page 134: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/134.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 134/206
![Page 135: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/135.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 135/206
![Page 136: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/136.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 136/206
![Page 137: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/137.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 137/206
![Page 138: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/138.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 138/206
![Page 139: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/139.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 139/206
![Page 140: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/140.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 140/206
![Page 141: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/141.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 141/206
![Page 142: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/142.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 142/206
egla de derivaci8n
egla de derivaci8n
/"'i#&lificar
ustituir en la ecuaci8n u/
i#&lificar
Ejercicio "
"! @allar la segunda derivada de
!o#a#os I co#o constante
A&lica#os la regla del &roducto ( )
esolve#os
![Page 143: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/143.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 143/206
![Page 144: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/144.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 144/206
![Page 145: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/145.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 145/206
![Page 146: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/146.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 146/206
![Page 147: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/147.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 147/206
![Page 148: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/148.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 148/206
![Page 149: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/149.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 149/206
![Page 150: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/150.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 150/206
A&lica#os regla de derivaci8n
esolve#os
A&lica#os regla de derivaci8n
A&lica#os regla de derivaci8n
i#&lifica#os ( )
!o#a#os
!ratar I co#o constante( )
A&lica#os la regla del &roducto ( )
!o#a#os
A&lica#os la regla de derivaci8n
![Page 151: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/151.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 151/206
![Page 152: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/152.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 152/206
!o#a#os
![Page 153: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/153.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 153/206
![Page 154: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/154.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 154/206
![Page 155: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/155.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 155/206
![Page 156: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/156.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 156/206
![Page 157: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/157.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 157/206
![Page 158: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/158.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 158/206
![Page 159: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/159.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 159/206
![Page 160: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/160.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 160/206
![Page 161: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/161.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 161/206
A&lica#os la regla de la su#aFdiferencia
A&lica#os la regla de derivaci8n
Derivada de una constante
Ejercicio #
Usando <G$os&ital $allar el lí#ite de
Este lí#ite no tiene soluci8n
Ejercicio $
De la curva $allar
a" <as coordenadas del &unto critico b" <os de inflei8n si los $ay
( )
![Page 162: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/162.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 162/206
![Page 163: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/163.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 163/206
![Page 164: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/164.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 164/206
![Page 165: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/165.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 165/206
![Page 166: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/166.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 166/206
![Page 167: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/167.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 167/206
![Page 168: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/168.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 168/206
![Page 169: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/169.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 169/206
![Page 170: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/170.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 170/206
![Page 171: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/171.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 171/206
![Page 172: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/172.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 172/206
![Page 173: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/173.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 173/206
![Page 174: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/174.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 174/206
![Page 175: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/175.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 175/206
![Page 176: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/176.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 176/206
![Page 177: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/177.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 177/206
%rafica
Ejercicio 1%
En <a construcci8n de una obra se debe $acer un &edido de ce#ento" Hu> Cantidad de bultos 9:debo solicitar a la fabrica, tal =ue el costo de este &edido sea #ini#oJ
![Page 178: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/178.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 178/206
![Page 179: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/179.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 179/206
![Page 180: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/180.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 180/206
![Page 181: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/181.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 181/206
![Page 182: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/182.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 182/206
![Page 183: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/183.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 183/206
![Page 184: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/184.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 184/206
![Page 185: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/185.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 185/206
![Page 186: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/186.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 186/206
![Page 187: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/187.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 187/206
![Page 188: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/188.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 188/206
![Page 189: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/189.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 189/206
![Page 190: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/190.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 190/206
![Page 191: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/191.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 191/206
![Page 192: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/192.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 192/206
![Page 193: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/193.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 193/206
![Page 194: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/194.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 194/206
![Page 195: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/195.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 195/206
![Page 196: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/196.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 196/206
![Page 197: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/197.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 197/206
![Page 198: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/198.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 198/206
![Page 199: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/199.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 199/206
![Page 200: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/200.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 200/206
![Page 201: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/201.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 201/206
![Page 202: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/202.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 202/206
&onclusiones
![Page 203: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/203.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 203/206
En el &resente traba7o &ode#os concluir El caculo integral, nos &resenta $erra#ientas =ue nos ayudana resolver diferentes situaciones, a trav>s de la e7ecuci8n de sus conce&tos"
Al encontrar la soluci8n a estos &roble#as, ve#os co#o &or #edio del cálculo, no soloencontra#os la soluci8n &ara un &lantea#iento inicial, sino &ara otras situaciones, =ue surgen atrav>s del desarrollo de cada e7ercicio"
![Page 204: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/204.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 204/206
![Page 205: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/205.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 205/206
'ista de referencias
![Page 206: 1000410_5_TRACOL3 (2)](https://reader036.fdocuments.ec/reader036/viewer/2022062501/563db9c4550346aa9a9fbc87/html5/thumbnails/206.jpg)
7/21/2019 1000410_5_TRACOL3 (2)
http://slidepdf.com/reader/full/10004105tracol3-2 206/206
Unidad 3, -odulo Calculo Diferencial, Universidad Nacional Abierta a Distancia UNADBogotá"
%uía ubrica !raba7o Colaborativo 3, Escuela de Ciencias Básicas !ecnología e Ingeniería,Universidad Nacional Abierta a Distancia UNAD Bogotá"
yllabus Cálculo diferencial, Escuela de Ciencias Básicas !ecnología e Ingeniería, Universidad Nacional Abierta a Distancia UNAD Bogotá"