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Power Rule for Derivatives


Definition

The power rule is used to differentiate functions of the form $f(x)=x^a$, when $a$ is a real number.

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Problems Solved

Find the derivative $\frac{d}{dx}\left(x^{2y}\right)$
Find the derivative $\frac{d}{dx}x^y$
Find the derivative $\frac{d}{dx}\left(x^{6y}\right)$
Find the derivative $\frac{d}{dx}\left(x^{\frac{4}{7}}\right)$
Find the derivative $\frac{d}{dy}\left(y^{\ln\left(x\right)}\right)$
Find the derivative $\frac{d}{dy}y^2$
Find the derivative $\frac{d}{dx}\left(x^{\frac{5}{2}}\right)$
Find the derivative $\frac{d}{dx}y=x^{10}$

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Related Topics

Product Rule of differentiation
Quotient Rule of Differentiation
Chain rule of differentiation
Constant Rule for Differentiation
Sum Rule of Differentiation

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