Differentiationsregeln

Kettenregel
\[ f(x)=h( g(x) ) \implies f'(x) = h'(g(x)) g'(x) \]
Produktregel
\[ f(x)=u(x) v(x) \implies f'(x) = u'(x) v(x) + u(x) v'(x) \]
Quotientenregel
\[ f(x)=\frac{u(x)}{v(x)} \implies f'(x)=\frac{u'(x) v(x)-u(x) v'(x)}{v(x)^2} \]