Mathématiques: Tél. 06 24 97 23 16
Dérivées
Questions:
Formules de dérivation
`f(x)=a` (`a " constante"` ) ` => f'(x)=0` `f(x)=x => f'(x)=1` `f(x)=x^2 =>f'(x)=2x` `f(x)=1/x=>f'(x)=-1/x^2` `f=1/u=>f'=(-u')/u^2` `f(x)=sqrt x=>f'(x)=1/(2 sqrt x)` `f=sqrt u=>f'= (u')/(2 sqrt u)` `f(x)=x^n =>f'(x)=nx^(n-1)` `f=u^n =>f'= n u' u^(n-1)` `f=lambda u` (`lambda " constante"` ) ` => f'=lambda u'` `f=u+v=>f'=u'+v'` `f=uv=>f'=u'v+v'u` `f=u/v=>f'=(u'v-v'u)/v^2` `f(x)=e^x =>f'(x)=e^x` `f=e^u =>f'=u'e^u` `f(x)=ln(x) =>f'(x)=1/x` `f=ln(u) =>f'=(u')/u`