Mathematics · essential

Product rule for JEE

Differentiation of the sum, difference, product and quotient of two functions

Formula

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

Variables: \(u=u(x),\ v=v(x)\).

Conditions: \(u,v\) differentiable.

Products of algebraic, trigonometric, exponential and logarithmic functions.

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