Differentiation rules

This is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus.with ψ ( x ) {displaystyle psi (x)} being the digamma function, expressed by the parenthesized expression to the right of Γ ( x ) {displaystyle Gamma (x)} in the line above. 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 the case of complex numbers (C). For any functions f {displaystyle f} and g {displaystyle g} and any real numbers a {displaystyle a} and b {displaystyle b} , the derivative of the function h ( x ) = a f ( x ) + b g ( x ) {displaystyle h(x)=af(x)+bg(x)} with respect to x {displaystyle x} is In Leibniz's notation this is written as: