What is the derivative of x^{-6/7} ?

The derivative of x^{-6/7} is -6/(7x^{13/7)}

What is the first derivative of x^{-6/7} ?

The first derivative of x^{-6/7} is -6/(7x^{13/7)}

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\frac{d}{d x} (x^{- \frac{6}{7}})

- \frac{6}{7 x ^{\frac{13}{7}}}

Solution steps

\frac{d}{d x} (x^{- \frac{6}{7}})

Apply the Power Rule:

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

= - \frac{6}{7} x^{- \frac{6}{7} - 1}

Simplify

- \frac{6}{7} x^{- \frac{6}{7} - 1} : - \frac{6}{7 x ^{\frac{13}{7}}}

= - \frac{6}{7 x ^{\frac{13}{7}}}

What is the derivative of x^{-6/7} ?
The derivative of x^{-6/7} is -6/(7x^{13/7)}
What is the first derivative of x^{-6/7} ?
The first derivative of x^{-6/7} is -6/(7x^{13/7)}