What is the derivative of 1/(x^{14}) ?

The derivative of 1/(x^{14}) is -(14)/(x^{15)}

What is the first derivative of 1/(x^{14}) ?

The first derivative of 1/(x^{14}) is -(14)/(x^{15)}

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\frac{d}{d x} (\frac{1}{x ^{14}})

- \frac{14}{x ^{15}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{14}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 14})

Apply the Power Rule:

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

= - 14 x^{- 14 - 1}

Simplify

- 14 x^{- 14 - 1} : - \frac{14}{x ^{15}}

= - \frac{14}{x ^{15}}

What is the derivative of 1/(x^{14}) ?
The derivative of 1/(x^{14}) is -(14)/(x^{15)}
What is the first derivative of 1/(x^{14}) ?
The first derivative of 1/(x^{14}) is -(14)/(x^{15)}