What is the derivative of f(x)= 1/(x^{16)} ?

The derivative of f(x)= 1/(x^{16)} is -(16)/(x^{17)}

What is the first derivative of f(x)= 1/(x^{16)} ?

The first derivative of f(x)= 1/(x^{16)} is -(16)/(x^{17)}

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derivative of

f (x) = \frac{1}{x ^{16}}

- \frac{16}{x ^{17}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{16}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 16})

Apply the Power Rule:

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

= - 16 x^{- 16 - 1}

Simplify

- 16 x^{- 16 - 1} : - \frac{16}{x ^{17}}

= - \frac{16}{x ^{17}}

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What is the derivative of f(x)= 1/(x^{16)} ?
The derivative of f(x)= 1/(x^{16)} is -(16)/(x^{17)}
What is the first derivative of f(x)= 1/(x^{16)} ?
The first derivative of f(x)= 1/(x^{16)} is -(16)/(x^{17)}