Tabla de Derivadas

MatemáticasDerivación ⇒ Tabla de derivadas
FUNCIÓNDERIVADA
f (x) = kf ' (x) = 0
f (x) = x nf ' (x) = n x n – 1
f (x) = nxf ' (x) =
1 / n nx n – 1
f (x) = sen xf ' (x) = cos x
f (x) = cos xf ' (x) = – sen x
f (x) = tg xf ' (x) =
1 / cos2 x
f (x) = e xf ' (x) = e x
f (x) = a xf ' (x) = a x ln a
f (x) = ln xf ' (x) =
1 / x
f (x) = log a xf ' (x) =
1 / x ln a
f (x) = arcsen xf ' (x) =
1 / 1 – x2
f (x) = arccos xf ' (x) =
–1 / 1 – x2
f (x) = arctg xf ' (x) =
1 / 1 + x2



Tabla de integrales inmediatas
Definición de derivada Reglas de derivación