Post on 01-Feb-2016
description
y=5−x2
y '=−2 x
y=4 x3+2x2+7 x+1
y '=12 x2+4 x+7
y= (x+2 )−5
y '=−5 ( x+2 )−6
y= (3 x+1 )23
y '=23
(3 x+1 )−13 (3 )
y=( x2−3x+2 )14
y '=14
(x2−3 x+2 )−34 (2x−3 )
y= x+1(2 x+3 )2
y '=(2x+3 )2 (1 )−( x+1 ) (2 ) (2 x+3 )
(2 x+3 )4
y= x2−1(x3+2 )3
y '=(x3+2 )3 (2 x )−(x2−1 ) (3 ) (x3+2 )2 (3x2 )
( x3+2 )6
y= 1−x2
(2 x+1 )4
y '=(2x+1 )4 (−2 x )−(1−x2 ) (4 ) (2x+1 )3 (2 )
(2x+1 )8
y=x 4 (7 x+1 )3
y '=x4 (3 ) (7 x+1 )2 (7 )+(7 x+1 )3 (4 x3 )
y=x 4−(7 x+1 )3
y '=4 x3−(3 ) (7 x+1 )2 (7 )
y=x3−2x2+3 x23
y '=3 x2−4 x+2 x−13
DE LA 30 EN ADELANTE
y=ln (x3+1 )2
y '=2 ( x3+1 ) (3 x2 )
(x3+1 )2
y=ln [ x3
x4+1 ]
y '=
(x 4+1 ) (3x2 )−x3(4 x3)(x4+1 )2
x3
x4+1
y=ln [ x2
x3+1 ]2
=ln [ x4
(x3+1 )2 ]
y '=
(x3+1 )2 (4 x3 )−x4(2)(x3+1)(3 x2)(x3+1 )4
x4
( x3+1 )2
y=ln [ 1−x2x3+1 ]
y '=
(x3+1 ) (−2 x )−(1−x2)(3 x2)
(x3+1 )2
1−x2
x3+1
y=ln [ x4 (x+1 )2 ]
y '=x4 (2 ) ( x+1 ) (1 )+ ( x+1 )2(4 x3)
x4 ( x+1 )2
y=ln [ (x2+1 ) (3 x+8 )−4 ]
y '=(x2+1 ) (−4 ) (3 x+8 )−5 (3 )+(3 x+8 )−4(2x )
(x2+1 ) (3 x+8 )−4
y=ln [ x3 (7 x+9 )5 ]
y '=x3 (5 ) (7 x+9 )4 (7 )+ (7 x+9 )5 (3 x2 )
x3 (7 x+9 )5
y=ln [ x4 (6x−1 )7 ]
y '=x4 (7 ) (6 x−1 )6 (6 )+(6 x−1 )7(4 x3)
x4 (6 x−1 )7
y=ln(10 x2)(x6+1)
y'=ln (10 x2 ) (6 x5 )+(x6+1)( 20 x10 x2 )
y=ln [ x4+1(11 x+20 )7 ]
y '=
(11 x+20 )7 (4 x3 )+(x¿¿4+1)(7 ) (11 x+20 )6(11)(11 x+20 )14
x4+1(11 x+20 )7
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y=ln (e2x+ x )
y '=e2x (2 )+1e2x+x
y=ln (e2x+16 x )
y '=e2x (2 )+16e2 x+16 x
y=sen (3 x )
y=cos (3 x ) (3 )
y=sen (x2 )
y '=cos (x2)(2 x)
y=sen (1−x2 )
y '=cos (1−x2)(−2 x)
y=sen (x2+2 x+1)
y '=cos (x2+2 x+1)(2 x+2)
y=sen ( 1x )y '=cos( 1x )( x (0 )−1(1)
x2 )
y=sen ( π3 x )y=cos( π3 x )( π3 )
y=cos (3 x )
y '=−sen (3 x ) (3 )
y=cos (ex )
y '=−sen (ex ) (e x)
y=cos (x2 )
y '=−sen (x2 ) (2x )
y=cos (lnx )
y '=−sen(lnx)( 1x )
y=cos( x
x2+1 )
y '=−sen( x
x2+1 )[ ( x2+1 ) (1 )−x (2 x)
(x2+1 )2 ]y=cos (x3+1 )
y '=−sen (x3+1 ) (3 x2 )
y=tan (7 x )
y '=Sec2 (7 x ) (7 )
y=tan (x2 )
y '=Sec2( x2)(2 x)
y=tan (x2+10x )
y '=Sec2( x2+10 x)(2x+10)
y= (sen5 x )3
y '=3 ( sen5x )2(cos 5x )(5)
y= (cos9 x )−4
y '=−4 (cos9 x )−5(−sen9 x )(9)
y= (cos2x )12
y '=12
(cos2 x )−12 (−sen2 x ) (2 )
y=Sec 8x
y '=Sec8 xTan 8x (8 )
y=Sec10 x
y '=Sec10 xTan10 x (10 )
y=Sec (x2+5 )
y '=Sec (x2+5 ) tan(x2+5)(2 x)
y=Sec (6 x+1 )
y '=Sec (6 x+1 ) tan(6 x+1)(6)
y=Csc (x2+2 )
y '=−Csc (x2+2)cot(x2+2)(2 x)
y=Csc (e3x )
y '=−Csc (e3 x )cot (e3 x ) (e3 x ) (3 )
y=Csc (x2+1 )
y '=−Csc ( x2+1 )cot (x2+1 ) (2x )
y=cot (x+1 )
y '=−Csc2(x+1)(1)
y=cot (4 x )
y '=−Csc2(4 x )(4 )
y=cot (x+1 )
y '=−Csc2(x+1)(1)
y=cot (5x )
y '=−Csc2(5 x)(5)