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Product Rule of differentiation


Definition

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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Problems Solved

$\frac{d}{dx}\left(x^2\cot\left(x\right)\right)$
Find the derivative $\frac{dy}{dx}\left(y\:=\:x\sqrt{x^2\:+\:41}\right)$
Find the derivative $\frac{d}{dx}\left(sinx^{sinx}\right)$
$\frac{d}{dx}\left(x\sqrt{x^2+46}\right)$
$\frac{d}{dx}2xtanx$
Find the derivative $\frac{d}{dx}\left(\sqrt{y}+xy^2=5\right)$
$\frac{d}{dx}\left(\arctan\left(x\right)\log\left(x\right)\right)$
Find the derivative $\frac{d}{dx}\left(x^{9\sqrt{x}}\right)$

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Related Topics

Power Rule for Derivatives
Quotient Rule of Differentiation
Chain rule of differentiation
Constant Rule for Differentiation
Sum Rule of Differentiation

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