What is the derivative of 1/(x^{-9)} ?

The derivative of 1/(x^{-9)} is 9x^8

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

The first derivative of 1/(x^{-9)} is 9x^8

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derivative of

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

9 x^{8}

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^{8}

\frac{d}{d x} ((1 + \frac{7}{x})^{5})

y = ln (x^{2} - 9)

x \to - 3 lim (5 x^{2} + 2 x)

\int \frac{1 + x}{1 - 3 x} d x

x \to 3 lim (\frac{x - 2}{x - 3})

What is the derivative of 1/(x^{-9)} ?
The derivative of 1/(x^{-9)} is 9x^8
What is the first derivative of 1/(x^{-9)} ?
The first derivative of 1/(x^{-9)} is 9x^8