✅ Sans reconduction
✅ Sans reconduction
0 Maths Gold
\( (x^n)' = n x^{n-1} \)
\( (e^x)' = e^x \)
\( (\ln x)' = \dfrac{1}{x} \)
\( (\cos x)' = -\sin x \)
\( (\sin x)' = \cos x \)
Si \( f(x) = g(u(x)) \), alors \( f'(x) = u'(x) \cdot g'(u(x)) \)
\( (u^n)' = n\,u' \cdot u^{n-1} \)
\( (e^u)' = u' \cdot e^u \)
\( (\ln u)' = \dfrac{u'}{u} \)
\( (\cos u)' = -u' \cdot \sin u \)
\( (\sin u)' = u' \cdot \cos u \)
Exemple : \( f(x) = \cos(3x) \Rightarrow u=3x,\ u'=3 \Rightarrow f'(x) = -3\sin(3x) \)