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Power Rule for Derivatives Calculator

Get detailed solutions to your math problems with our Power Rule for Derivatives step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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1

Solved example of power rule for derivatives

$\frac{d}{dx}\left(15x^2\right)$
2

The derivative of a function multiplied by a constant ($15$) is equal to the constant times the derivative of the function

$15\frac{d}{dx}\left(x^2\right)$

$15\cdot 2x^{\left(2-1\right)}$

Subtract the values $2$ and $-1$

$15\cdot 2x^{1}$

Multiply $15$ times $2$

$30x^{1}$

Any expression to the power of $1$ is equal to that same expression

$30x$
3

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$30x$

Final Answer

$30x$

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