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Popular >

derivative of-1/3 x^{-3}

Solution

\frac{d}{d x} (- \frac{1}{3} x^{- 3})

Solution

\frac{1}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{1}{3} x^{- 3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{3} \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - \frac{1}{3} (- 3 x^{- 3 - 1})

Simplify

- \frac{1}{3} (- 3 x^{- 3 - 1}) : \frac{1}{x ^{4}}

= \frac{1}{x ^{4}}

Graph

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\int \frac{e ^{3 x}}{e ^{3 x} + 1} d x

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Frequently Asked Questions (FAQ)

What is the derivative of-1/3 x^{-3} ?
The derivative of-1/3 x^{-3} is 1/(x^4)
What is the first derivative of-1/3 x^{-3} ?
The first derivative of-1/3 x^{-3} is 1/(x^4)