Tabla de derivadas

D(k) -> 0  D(x) -> 1  D(kx) -> k  D(kx+b) -> k  D(xⁿ)-> nx^n-1  D|f(g[h(x)])| -> f'(g[h(x)])* g'[h(x)]* h'(x)  D[u(x)+v(x)] -> u'(x)+v'(x)  D[u(x)*v(x)] -> u(x)*v'(x)+v(x)*v'(x)  D[u(x)/v(x)] -> v(x)*u'(x)-u(x)*v'(x)/[v(x)]²  D[f(x)ⁿ] ->n[f(x)]^n-1*f'(x)  D(sen x) -> cos x  D[sen f(x)] -> cos f(x)*f'(x)  D(cos x) -> -sen x  D(cos f(x)) -> -sen f(x)*f'(x)  D(tan x) -> sec²x ó 1+tan²x  D[tan f(x)] -> sec²f(x)*f'(x) ó [1+tan²f(x)] *f'(x)  D(arc senx) -> 1/  D(arc sen f(x)) -> f'(x)/   D(arc cosx) -> -1/   D(arc cos f(x)) -> -f(x)/    D(arc tgx) -> 1/ 1+ x²  D(arc tg f(x)) -> f'(x)/ 1+f(x)²  D e^f(x) -> e^f(x)*f'(x)  D k^f(x) -> k^f(x)*ln k * f'(x)  D ln x -> 1/x  D ln f(x) -> f'(x)/ f(x)  D log_a x -> 1/x* ln a  D log_a f(x) -> f'(x)/ f(x) * ln a