What is the derivative of y= 1/(x^9) ?

The derivative of y= 1/(x^9) is -9/(x^{10)}

What is the first derivative of y= 1/(x^9) ?

The first derivative of y= 1/(x^9) is -9/(x^{10)}

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derivative of

y = \frac{1}{x ^{9}}

- \frac{9}{x ^{10}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{9}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- 9})

Apply the Power Rule:

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

= - 9 x^{- 9 - 1}

Simplify

- 9 x^{- 9 - 1} : - \frac{9}{x ^{10}}

= - \frac{9}{x ^{10}}

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What is the derivative of y= 1/(x^9) ?
The derivative of y= 1/(x^9) is -9/(x^{10)}
What is the first derivative of y= 1/(x^9) ?
The first derivative of y= 1/(x^9) is -9/(x^{10)}