Fonction f(x), u(x) ou v(x)

Fonction dérivée f'(x), u'(x) ou v'(x)

kÎ IR

0

xⁿ

n.x^n–1

(u + v)

u' + v'

(u.v)

u'.v + u.v'

uⁿ

n.u^n–1.u'

e^u

e^u.u'

a^u

a^u.lna.u'

Ln|u|

sin(a.x)

a.cos(a.x)

cos(a.x)

–a.sin(a.x)

tan(a.x)

a.(1+tan²x) = a.(1/cos²x)

cotan(a.x)

–a.(1 + cotan²x) = –a.(1/sin²x)

u[v(x)]

u'[v(x)].v'(x)

Arcsin(x)

Arccos(x)

Arctan(x)