Derivate di funzioni composte
$$\begin{array}{|c|c|}\hline{\text{Funzione }} & {\text{Derivata } }\\ \hline{f(x)^{n}} & {n\cdot f(x)^{n-1}\cdot f'(x)} \\ \hline {e^{f(x)}} & {e^{f(x)}\cdot f'(x)}\\ \hline {\ln (f(x))} & {\frac{1}{f(x)} \cdot f'(x)}\\ \hline {sen(f(x))} & {cos(f(x))\cdot f'(x)}\\ \hline {cos(f(x))} & {-sen(f(x))\cdot f'(x)} \\ \hline {arctg(f(x))} & {\frac{1}{1+ [f(x)]^2}\cdot f'(x)} \\ \hline \end{array}$$