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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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###  Difficult Problems

1

Here, we show you a step-by-step solved example of power rule for derivatives. This solution was automatically generated by our smart calculator:

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

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$15\frac{d}{dx}\left(x^2\right)$
3

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

$30x^{\left(2-1\right)}$
4

Subtract the values $2$ and $-1$

$30x$

Multiply $15$ times $2$

$30x$
5

Expand and simplify

$30x$

##  Final answer to the problem

$30x$

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