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Popular >

derivative of \sqrt[6]{-x+1}

Solution

derivative of

Solution

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

Solution steps

Apply the chain rule:

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

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

\frac{d}{d x} (- x + 1) = - 1

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

Simplify

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

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[6]{-x+1} ?
The derivative of \sqrt[6]{-x+1} is -1/(6(-x+1)^{5/6)}
What is the first derivative of \sqrt[6]{-x+1} ?
The first derivative of \sqrt[6]{-x+1} is -1/(6(-x+1)^{5/6)}