• Por definición:

( ) ( ) ( )0

'h

f x h f xf x Lim

h→

+ −=

• Fórmulas básicas

( ) ( )

( ) ( ) ( )1

algo

' algo algo '

n

n

f x

f x n−

=

= ⋅ ⋅

( )( )' ' '

f x A B

f x A B B A

= ⋅

= +

( )

( ) 2

' ''

Af x

B

A B ABf x

B

=

−=

( ) ( ) ( ) ( )( ) ( ) ( ) ( )( ) ( ) ( ) ( )( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( ) ( )

2

2

algo cos algo algo '

cos algo algo algo '

algo sec algo algo '

c algo csc algo algo '

sec algo sec algo algo algo '

csc algo csc algo algo algo '

f x sen

f x sen

f x tg

f x tg

f x tg

f x ctg

= = ⋅

= = − ⋅

= = ⋅

= = − ⋅

= = ⋅ ⋅

= = − ⋅ ⋅

( ) ( ) ( )( )

( ) ( ) ( )( )

( ) ( ) ( )( )

2

2

2

algo ' algo

1 algo

algo ' algo

1 algo

algo ' algo

1 algo

f x arc sen

f x arc cos

f x arc tg

= =−

= = −−

= =+

( ) ( )

( ) ( ) ( )

( ) ( ) ( )algo algo

algo algo algo '

algo 'ln algo

algo

número número algo ' ln número

f x e e

f x

f x

= = ⋅

= =

= = ⋅ ⋅