Uncommon

Quotient rule

Formula for the derivative of a ratio of functions

Quotient rule

Uncommon card · No. 88697

In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let ⁠h(x)=f(x)g(x)⁠, where both ⁠f⁠ and ⁠g⁠ are differentiable and ⁠g(x)≠0⁠. The quotient rule states that the derivative of ⁠h(x)⁠ is h′(x)=f′(x)g(x)−f(x)g′(x)(g(x))2. It is provable in many ways by using other derivative rules.

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