Question

Differentiation division rule

Answer 1

In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions.[1][2][3] Let {\displaystyle f(x)=g(x)/h(x),} where both {\displaystyle g} and {\displaystyle h} are differentiable and {\displaystyle h(x)\neq 0.} The quotient rule states that the derivative of {\displaystyle f(x)} is

{\displaystyle f'(x)={\frac {g'(x)h(x)-g(x)h'(x)}{[h(x)]^{2}}}.}