What is the derivative of x^{13} ?

The derivative of x^{13} is 13x^{12}

What is the first derivative of x^{13} ?

The first derivative of x^{13} is 13x^{12}

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derivative of

x^{13}

13 x^{12}

Solution steps

\frac{d}{d x} (x^{13})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 13 x^{13 - 1}

Simplify

= 13 x^{12}

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What is the derivative of x^{13} ?
The derivative of x^{13} is 13x^{12}
What is the first derivative of x^{13} ?
The first derivative of x^{13} is 13x^{12}