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Deribatuen taula
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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+′
=′