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+′

=′