What is the derivative of 1/(x^{11)} ?

The derivative of 1/(x^{11)} is -(11)/(x^{12)}

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

The first derivative of 1/(x^{11)} is -(11)/(x^{12)}

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derivative of

\frac{1}{x ^{11}}

- \frac{11}{x ^{12}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{11}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 11})

Apply the Power Rule:

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

= - 11 x^{- 11 - 1}

Simplify

- 11 x^{- 11 - 1} : - \frac{11}{x ^{12}}

= - \frac{11}{x ^{12}}

What is the derivative of 1/(x^{11)} ?
The derivative of 1/(x^{11)} is -(11)/(x^{12)}
What is the first derivative of 1/(x^{11)} ?
The first derivative of 1/(x^{11)} is -(11)/(x^{12)}