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

The derivative of-1/(x^{2/3)} is 2/(3x^{5/3)}

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

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

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d}{d x} (sinh^{2} (3 x))

y^{^{''}} + 4 y = 0, y (0) = 4, y^{^{'}} (0) = 1

\int (cos (9 x)) d x

\frac{d}{d x} (2 x e^{x} + 3 sec (x))

\frac{d}{d x} (ln ((a x)^{n}))

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