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Quotient Rule of Differentiation


Definition

The quotient rule is a formal rule for differentiating problems where one function is divided by another.

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Problems Solved

Find the derivative $\frac{d}{dx}\left(\frac{y-1}{x+3}\right)$
Find the derivative $\frac{dy}{dx}\left(\frac{y-1}{x+3}\right)$
Find the derivative $\frac{dy}{dx}\left(\frac{2xy}{y-1}\right)$
Find the derivative $\frac{d}{dx}\left(\frac{x}{e^{-x}}\right)$
Find the derivative $\frac{d}{dx}\frac{1}{\left(\sec\:\left(2x-1\right)\right)^2}$
Find the derivative $\frac{d}{dx}\frac{x}{\tan\left(x^2\right)}$
Find the derivative $\frac{dy}{dx}\left(\frac{1+2y^3}{y\:cosx}\right)$
Find the derivative $\frac{d}{dx}\left(\frac{\sin\:\left(x^2\right)}{\cos\:\left(x\right)}\right)$

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Related Topics

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

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