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Popular >

derivative of 6x^{-5/6}

Solution

\frac{d}{d x} (6 x^{- \frac{5}{6}})

Solution

- \frac{5}{x ^{\frac{11}{6}}}

Solution steps

\frac{d}{d x} (6 x^{- \frac{5}{6}})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{- \frac{5}{6}})

Apply the Power Rule:

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

= 6 (- \frac{5}{6} x^{- \frac{5}{6} - 1})

Simplify

6 (- \frac{5}{6} x^{- \frac{5}{6} - 1}) : - \frac{5}{x ^{\frac{11}{6}}}

= - \frac{5}{x ^{\frac{11}{6}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 6x^{-5/6} ?
The derivative of 6x^{-5/6} is -5/(x^{11/6)}
What is the first derivative of 6x^{-5/6} ?
The first derivative of 6x^{-5/6} is -5/(x^{11/6)}