The Quotient Rule | How to Find the Derivative of a Quotient Function

d/dx (u/v)

To find the derivative of the quotient of two functions, u and v, with respect to x, you can use the quotient rule

To find the derivative of the quotient of two functions, u and v, with respect to x, you can use the quotient rule. The quotient rule states that the derivative of u/v is given by the following formula:

d/dx (u/v) = (v * du/dx – u * dv/dx) / v^2

Here, du/dx represents the derivative of the numerator function u with respect to x, and dv/dx represents the derivative of the denominator function v with respect to x.

In summary, the derivative of the quotient u/v with respect to x is given by (v * du/dx – u * dv/dx) / v^2. This formula allows you to find the derivative of any quotient function.

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