Tabla de derivadas

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  • Publicado : 19 de marzo de 2010
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Tabla de Derivadas
f ( x ) ............................................ f ′ ( x )
k ..................................................0 x n ................................................ nx n− 1 1 ln x .............................................. x g′( x) ln  g ( x )  ........................................   g x

( ) g ( x ) ± h ( x ) ................................. g ′ ( x )± h ′ ( x ) g ( x ) ⋅ h ( x ) ................................... g ′ ( x ) ⋅ h ( x ) + g ( x ) ⋅ h ′ ( x ) g ( x) g ′ ( x ) ⋅ h ( x ) − g ( x ) ⋅ h′ ( x )........................................... 2 h ( x)  h ( x )   g x g x e ( ) ..............................................g ′ ( x ) ⋅ e ( )
k x ................................................ k x ⋅ ln k k
g( x).............................................ln k ⋅ g ′ ( x ) ⋅ k log b ( e )

g( x)

log b ( x ) ..........................................

log b  g ( x )  ....................................    g( x )  
h( x ) g( x)

x g ′ ( x ) ⋅ log b ( e ) g ( x)
h( x )

....................................h′ ( x )  g ( x )   

⋅ ln  g ( x )  + h ( x )  g ( x )     

h ( x ) −1⋅ g′( x)

sen ( g ( x ) ) ........................................cos ( g ( x ) ) ⋅ g ′ ( x )

  g ( x )  .................................... g ′ ( x )  g ( x )     x x x.................................................... x ( ln x + 1)

g( x)

⋅ ln  g ( x )  + g ′ ( x )  g ( x )     

g( x)

cos ( g ( x ) ) ....................................... − sen ( g (x ) ) ⋅ g ′ ( x ) tg ( g ( x ) ) ..........................................sec 2 ( g ( x ) ) ⋅ g ′ ( x )

sec ( g ( x ) ) .........................................sec ( g ( x ) ) ⋅ tg ( g ( x )) ⋅ g ′ ( x ) arcsen ( g ( x ) ) .................................... g′( x)

cotg ( g ( x ) ) ....................................... − csc2 ( g ( x ) ) ⋅ g ′ ( x )

csc ( g ( x ) )...
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