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Popular >

derivative of \sqrt[7]{3x-1}

Solution

\frac{d}{d x} (7 3 x - 1)

Solution

\frac{3}{7 ( 3 x - 1 ) ^{\frac{6}{7}}}

Solution steps

\frac{d}{d x} (7 3 x - 1)

Apply the chain rule:

\frac{1}{7 ( 3 x - 1 ) ^{\frac{6}{7}}} \frac{d}{d x} (3 x - 1)

= \frac{1}{7 ( 3 x - 1 ) ^{\frac{6}{7}}} \frac{d}{d x} (3 x - 1)

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

= \frac{1}{7 ( 3 x - 1 ) ^{\frac{6}{7}}} \cdot 3

Simplify

\frac{1}{7 ( 3 x - 1 ) ^{\frac{6}{7}}} \cdot 3 : \frac{3}{7 ( 3 x - 1 ) ^{\frac{6}{7}}}

= \frac{3}{7 ( 3 x - 1 ) ^{\frac{6}{7}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[7]{3x-1} ?
The derivative of \sqrt[7]{3x-1} is 3/(7(3x-1)^{6/7)}
What is the first derivative of \sqrt[7]{3x-1} ?
The first derivative of \sqrt[7]{3x-1} is 3/(7(3x-1)^{6/7)}