What is the derivative of f(x)=x^{-11} ?

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

What is the first derivative of f(x)=x^{-11} ?

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

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derivative of

f (x) = x^{- 11}

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

Solution steps

\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}}

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