In calculus [Calculus], the quotient rule is a method of finding the derivative [Derivative (math)] of a function that is the ratio of two differentiable functions. Let \(\displaystyle h(x)=f(x)/g(x)\), where both \(f\) and \(g\) are differentiable and \(\displaystyle g(x)\neq 0\). The quotient rule states that the derivative of \(h(x)\) is

\(\displaystyle h’(x)={\frac {f’(x)g(x)-f(x)g’(x)}{g(x)^{2}}}\)

It is provable in many ways by using other derivative rules.

(“Quotient Rule” 2022)

This is one of the rules of Differentiation.



“Quotient Rule.” 2022. Wikipedia, December.