Tabla de derivadas e integrales

TABLA DE DERIVADAS

TABLA DE INTEGRALES

1. Potencias

[pic 1]

[pic 2]

[pic 3]

Exponenciales

[pic 4]

[pic 5]

[pic 6]

[pic 7]

[pic 8]

[pic 9]

Logarítmicas

[pic 10]

[pic 11]

[pic 12]

[pic 13]

[pic 14]

Recuerda que:   [pic 15]

Trigonométricas

[pic 16]

[pic 17]

[pic 18]

[pic 19]

[pic 20]

[pic 21]

[pic 22]

[pic 23]

[pic 24]

[pic 25]

[pic 26]

[pic 27]

[pic 28]

[pic 29]

[pic 30]

[pic 31]

[pic 32]

[pic 33]

Operaciones más usuales en derivadas e integrales

[pic 34]

[pic 35]

[pic 36]

[pic 37]

[pic 38]

Integración por partes:

[pic 39]

[pic 40]

[pic 41]

[pic 42]

[pic 43]

Regla de la  cadena: Si y(x)=y[u(v(x))] ➔          [pic 44]

[pic 45]

[pic 46]

Derivada de la función inversa:

Si y = f(x) ; x = g(y) ➔ g ’=1/f ’