Calculators AI Whiteboard Worksheets & Tests
Book solutions
Algebra Baldor
Go Premium Topics

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.

Check out more math topics here.


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 $\frac{d}{dx}\left(x^{\frac{5}{2}}\right)$

Are you struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!

Related Topics

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

Popular problems

$\frac{d}{dx}x^5$ 71 views
$\frac{d}{dx}\left(x^{11}\right)$ 46 views
$\frac{d}{dx}x^{-2}$ 29 views
$\frac{dy}{dx}\left(x^3\right)$ 18 views
$\frac{d}{dx}\left(x^{0.5}\right)$ 16 views
$\frac{d}{dx}\left(x^{\frac{5}{2}}\right)$ 16 views
$\frac{d}{dx}\:x^2$ 15 views
$\frac{d}{dx}x^y$ 15 views