Tabla de derivadas

Funciòn Derivada

f(x) = xa f ′(x) = a · xa−1

f(x) = lnx f ′(x) = 1x

f(x) =√x f ′(x) = 1

2√x

f(x) = ax f ′(x) = Lna · ax

f(x) = H(x)G(x) f ′(x) = H ′(x)G(x) +H(x)G′(x)

f(x) = H(x)G(x) f ′(x) = H′(x)G(x)−H(x)G′(x)

G2(x)

f(x) = H(G(x)) f ′(x) = H ′(G(x)) ·G′(x)

f(x) = senx f ′(x) = cosx

f(x) = cosx f ′(x) = −senx

f(x) = tanx f ′(x) = 1cos2x = 1 + tg2x

f(x) = arcsenx f ′(x) = 1√1−x2

f(x) = arctanx f ′(x) = 11+x2

f(x) = arccosx f(x) = − 1√1−x2

f(x) = ex f ′(x) = ex

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