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Power Rule for Derivatives Calculator

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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 is equal to the constant times the derivative of the function

$15\frac{d}{dx}\left(x^2\right)$
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The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$30x^{\left(2-1\right)}$
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Subtract the values $2$ and $-1$

$30x$

Final Answer

$30x$

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