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TABLAS
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ddx
(c )=0
ddx
( x )=1
ddx
(xn )=nxn−1
ddx
[cf ( x )]=cf '(x )
ddx
[ f ( x )±g ( x ) ]=f ' ( x )±g '( x)
ddx
[ f ( x )g ( x ) ]=f ( x )g' ( x )+g ( x ) f ' (x )( producto)
ddx [ f (x )g(x) ]= g ( x ) f ' ( x )−f (x )g '( x)
[ g(x) ]2(cociente)
ddxf (g (x))=f ' (g ( x ) ) g' ( x )(regla de lacadena)
ddx
(ex )=ex
ddx
(ax )=ax ln a
ddxln|x|=1
x
ddx
( loga x )= 1x ln a
ddx
( sen x )=cos x
ddx
(cos x )=−sen x
ddx
( tan x )=sec2 x
ddx
(csc x )=−csc x cot x
ddx
( sec x )=sec x tan x
ddx
(cot x )=−csc2 x
ddx
( sen−1 x )= 1
√1−x2
ddx
(cos−1 x )= −1
√1+x2
ddx
( tan−1 x )= 1
1+x2
ddx
(csc−1 x )= −1x √x2−1
ddx
( sec−1 x )= 1
x √x2−1ddx
(cot−1 x )= −11+x2
log a ( xy )=loga x+ loga y
log a( xy )= loga x− loga ylog a (xr )=r loga x
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