What is the derivative of 1/(x^{23/9)} ?

The derivative of 1/(x^{23/9)} is -(23)/(9x^{32/9)}

What is the first derivative of 1/(x^{23/9)} ?

The first derivative of 1/(x^{23/9)} is -(23)/(9x^{32/9)}

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derivative of

\frac{1}{x ^{\frac{23}{9}}}

- \frac{23}{9 x ^{\frac{32}{9}}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{\frac{23}{9}}})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- \frac{23}{9}})

Apply the Power Rule:

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

= - \frac{23}{9} x^{- \frac{23}{9} - 1}

Simplify

- \frac{23}{9} x^{- \frac{23}{9} - 1} : - \frac{23}{9 x ^{\frac{32}{9}}}

= - \frac{23}{9 x ^{\frac{32}{9}}}

\int_{1}^{\infty} x^{- \frac{1}{6}} d x

x \to 8 - lim (\frac{7}{x - 8})

\frac{d}{d x} (- 24 e^{- 8 x^{3}} x^{2})

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

\frac{d}{d x} (cos (x) + x \cdot sin (x))

What is the derivative of 1/(x^{23/9)} ?
The derivative of 1/(x^{23/9)} is -(23)/(9x^{32/9)}
What is the first derivative of 1/(x^{23/9)} ?
The first derivative of 1/(x^{23/9)} is -(23)/(9x^{32/9)}