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Popular >

derivative of 1/3 x^{-2/3}

Solution

derivative of

\frac{1}{3} x^{- \frac{2}{3}}

Solution

- \frac{2}{9 x ^{\frac{5}{3}}}

Solution steps

\frac{d}{d x} (\frac{1}{3} x^{- \frac{2}{3}})

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (x^{- \frac{2}{3}})

Apply the Power Rule:

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

= \frac{1}{3} (- \frac{2}{3} x^{- \frac{2}{3} - 1})

Simplify

\frac{1}{3} (- \frac{2}{3} x^{- \frac{2}{3} - 1}) : - \frac{2}{9 x ^{\frac{5}{3}}}

= - \frac{2}{9 x ^{\frac{5}{3}}}

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\int sin^{3} (v) cos^{8} (v) d v

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\frac{d}{d n} ((n + 1)^{n})

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\frac{d}{d x} (\frac{12}{( 1 - x ) ^{5}})

Frequently Asked Questions (FAQ)

What is the derivative of 1/3 x^{-2/3} ?
The derivative of 1/3 x^{-2/3} is -2/(9x^{5/3)}
What is the first derivative of 1/3 x^{-2/3} ?
The first derivative of 1/3 x^{-2/3} is -2/(9x^{5/3)}