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Quotient rule
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{{short description|Formula for the derivative of a ratio of functions}} {{Calculus |Differential}} In [[calculus]], the '''quotient rule''' is a method of finding the [[derivative]] of a [[function (mathematics)|function]] that is the ratio of two differentiable functions. Let <math>h(x)=\frac{f(x)}{g(x)}</math>, where both {{mvar|f}} and {{mvar|g}} are differentiable and <math>g(x)\neq 0.</math> The quotient rule states that the derivative of {{math|''h''(''x'')}} is :<math>h'(x) = \frac{f'(x)g(x) - f(x)g'(x)}{(g(x))^2}.</math> It is provable in many ways by using other [[Differentiation rules|derivative rules]].
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