Formulario de derivadas
1
• Por definición: ( ) ( ) ( ) 0 ' h f x h f x f x Lim h → + − = • Fórmulas básicas ( ) ( ) ( ) ( ) ( ) 1 algo ' algo algo ' n n f x f x n − = = ⋅ ⋅ ( ) ( ) ' ' ' f x AB f x AB BA = ⋅ = + ( ) ( ) 2 ' ' ' A f x B AB AB f 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 = = ⋅ = = = = ⋅ ⋅
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Formulas de derivación
Transcript of Formulario de derivadas
• 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
= = ⋅
= =
= = ⋅ ⋅
