What is the derivative of 1/(x^{10}) ?

The derivative of 1/(x^{10}) is -(10)/(x^{11)}

What is the first derivative of 1/(x^{10}) ?

The first derivative of 1/(x^{10}) is -(10)/(x^{11)}

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\frac{d}{d x} (\frac{1}{x ^{10}})

- \frac{10}{x ^{11}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{10}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 10})

Apply the Power Rule:

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

= - 10 x^{- 10 - 1}

Simplify

- 10 x^{- 10 - 1} : - \frac{10}{x ^{11}}

= - \frac{10}{x ^{11}}

What is the derivative of 1/(x^{10}) ?
The derivative of 1/(x^{10}) is -(10)/(x^{11)}
What is the first derivative of 1/(x^{10}) ?
The first derivative of 1/(x^{10}) is -(10)/(x^{11)}