What is the derivative of 1/(x^{13}) ?

The derivative of 1/(x^{13}) is -(13)/(x^{14)}

What is the first derivative of 1/(x^{13}) ?

The first derivative of 1/(x^{13}) is -(13)/(x^{14)}

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\frac{d}{d x} (\frac{1}{x ^{13}})

- \frac{13}{x ^{14}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{13}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \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^{- 13 - 1} : - \frac{13}{x ^{14}}

= - \frac{13}{x ^{14}}

\int x^{2} - 2 x d x

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x ln (7 x), 1

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What is the derivative of 1/(x^{13}) ?
The derivative of 1/(x^{13}) is -(13)/(x^{14)}
What is the first derivative of 1/(x^{13}) ?
The first derivative of 1/(x^{13}) is -(13)/(x^{14)}