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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

$\frac{d}{dx}x^3\left(3x+1\right)$
Find the derivative $\frac{d}{dx}\left(x^2y+y^2=c\right)$
Find the derivative $\frac{d}{dx}\left(x^2+y^2=\cos\left(xy\right)\right)$
Find the derivative $\frac{d}{dx}\left(x^2y=y-7\right)$
Find the derivative $\frac{d}{dx}\left(2x+1\right)^{x^2}$
Find the derivative $\frac{dy}{dx}\left(y^3x^3=e^x\right)$
Find the derivative $\frac{d}{dx}\left(e^{x^2y}=x+y\right)$

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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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