Matemáticas ⇒ Derivación ⇒ Tabla de derivadas
FUNCIÓN | DERIVADA |
---|---|
f (x) = k | f ' (x) = 0 |
f (x) = x n | f ' (x) = n x n – 1 |
f (x) = n√x | f ' (x) =
1
n n√x n – 1
|
f (x) = sen x | f ' (x) = cos x |
f (x) = cos x | f ' (x) = – sen x |
f (x) = tg x | f ' (x) =
1
cos2 x
|
f (x) = e x | f ' (x) = e x |
f (x) = a x | f ' (x) = a x ln a |
f (x) = ln x | f ' (x) =
1
x
|
f (x) = log a x | f ' (x) =
1
x ln a
|
f (x) = arcsen x | f ' (x) =
1
√1 – x2
|
f (x) = arccos x | f ' (x) =
–1
√1 – x2
|
f (x) = arctg x | f ' (x) =
1
1 + x2
|
Tabla de integrales inmediatas |
Definición de derivada | Reglas de derivación |