Product rule

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\frac{d}{dx} \sin x=?\, This article/section deals with mathematical concepts appropriate for a student in late high school or early university.

The Product Rule is a rule in calculus pertaining to the derivative of two variables or functions. The Leibniz notation is as follows:


\frac{d}{dx} (uv) = u \frac{dv}{dx} + v \frac{du}{dx}

The product rule in words is the derivative of uv is u multiplied by the derivative of v plus the derivative of u multipled by v. The commutative property allows the terms to be interchanged, which occasionally leads to introduction in reverse.

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