Quotient rule

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${\displaystyle \int _{a}^{b}f'(t)\,dt=f(b)-f(a)}$
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In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let ${\displaystyle h(x)={\frac {f(x)}{g(x)}}}$, 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.