Deribatuen_taula
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FUNTZIOA DERIBATUA FUNTZIOA DERIBATUA k y = 0 = ′ y x y = 1 = ′ y n x y = 1 − ⋅ = ′ n x n y n u y = u u n y n ′ ⋅ ⋅ = ′ −1 x k y ⋅ = k y = ′ u k y ⋅ = u k y ′ ⋅ = ′ v u y + = v u y ′ + ′ = ′ v u y ⋅ = v u v u y ′ ⋅ + ⋅ ′ = ′ v u y = 2 v v u v u y ′ ⋅ − ⋅ ′ = ′ x y = x y ⋅ = ′ 2 1 u y = u u y ⋅ ′ = ′ 2 x a y = a a y x ln ⋅ = ′ u a y = u a a y u ′ ⋅ ⋅ = ′ ln x e y = x e y = ′ u e y = u e y u ′ ⋅ = v u y = u u v v u u y v v ′ ⋅ ⋅ + ′ ⋅ ⋅ = ′ −1 ln x y a log = a x y ln 1 ⋅ = ′ u y a log = a u u y ln ⋅ ′ = ′ x y ln = x y 1 = ′ u y ln = u u y ′ = ′ x y sin = x y cos = ′ u y sin = u u y cos ⋅ ′ = ′ x y cos = x y sin − = ′ u y cos = u u y sin ⋅ ′ − = ′ x y tan = x x y 2 2 tan 1 cos 1 + = = ′ u y tan = ( ) u u u u y ′ ⋅ + = ′ = ′ 2 2 tan 1 cos x y arcsin = 2 1 1 x y − = ′ u y arcsin = 2 1 u u y − ′ = ′ x y arccos = 2 1 1 x y − − = ′ u y arccos = 2 1 u u y − ′ − = ′ x y arctan = 2 1 1 x y + = ′ u y arctan = 2 1 u u y + ′ = ′
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Deribatuen taula
Transcript of Deribatuen_taula
FUNTZIOA DERIBATUA FUNTZIOA DERIBATUA ky = 0=′y xy = 1=′y
nxy = 1−⋅=′ nxny nuy = uuny n ′⋅⋅=′ −1 xky ⋅= ky =′ uky ⋅= uky ′⋅=′
vuy += vuy ′+′=′ vuy ⋅= vuvuy ′⋅+⋅′=′
vuy = 2v
vuvuy′⋅−⋅′
=′
xy = xy
⋅=′
21
uy = uuy⋅
′=′
2 xay = aay x ln⋅=′ uay = uaay u ′⋅⋅=′ ln xey = xey =′ uey = uey u ′⋅=
vuy = uuvvuuy vv ′⋅⋅+′⋅⋅=′ −1ln
xy alog= ax
yln1⋅
=′ uy alog=
auuyln⋅′
=′
xy ln= x
y 1=′
uy ln= uuy′
=′
xy sin= xy cos=′ uy sin= uuy cos⋅′=′ xy cos= xy sin−=′ uy cos= uuy sin⋅′−=′
xy tan= xx
y 22 tan1
cos1
+==′ uy tan= ( ) uu
uuy ′⋅+=′
=′ 22 tan1
cos
xy arcsin= 21
1x
y−
=′
uy arcsin=21 u
uy−
′=′
xy arccos= 21
1x
y−
−=′
uy arccos=
21 uuy−
′−=′
xy arctan= 21
1x
y+
=′ uy arctan=
21 uuy+′
=′
