f(x)=a f'(x)=0 f(x)=ax f'(x)=a f(x)=x2 f'(x)=2x f(x)=x^n f'(x)=nx^n-1 f(x)=1/x f'(x)=-1/x2 f(x)=1/x^n f'(x)=-n/x^n+1 f(x)=√x f'(x)=1/2√x f(x)=e^x f'(x)=e^x f(x)=e^kx f'(x)=ke^kx u+v = u'+v' ku = ku' uv = u'v+uv' 1/u = -u'/u2 u/v = u'v-uv'/v2 √u = u'/2√u u^n = nu'u^n-1 e^u = u'e^u ln(u)=u'/u Convexe : en dessous des cordes Concave : au dessus des cordes