What is the derivative of f(x)=x^{-15} ?

The derivative of f(x)=x^{-15} is -(15)/(x^{16)}

What is the first derivative of f(x)=x^{-15} ?

The first derivative of f(x)=x^{-15} is -(15)/(x^{16)}

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derivative of

f (x) = x^{- 15}

- \frac{15}{x ^{16}}

Solution steps

\frac{d}{d x} (x^{- 15})

Apply the Power Rule:

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

= - 15 x^{- 15 - 1}

Simplify

- 15 x^{- 15 - 1} : - \frac{15}{x ^{16}}

= - \frac{15}{x ^{16}}

What is the derivative of f(x)=x^{-15} ?
The derivative of f(x)=x^{-15} is -(15)/(x^{16)}
What is the first derivative of f(x)=x^{-15} ?
The first derivative of f(x)=x^{-15} is -(15)/(x^{16)}