Differentiation rules

This is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus.

Unless otherwise stated, all functions are functions of real numbers (R) that return real values; although more generally, the formulae below apply wherever they are well defined—including complex numbers (C).

For any functions ${\displaystyle f}$ and ${\displaystyle g}$ and any real numbers ${\displaystyle a}$ and ${\displaystyle b}$ the derivative of the function ${\displaystyle h(x)=af(x)+bg(x)}$ with respect to ${\displaystyle x}$ is

...
Wikipedia