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Popular >

derivative of \sqrt[4]{2x-1}

Solution

\frac{d}{d x} (4 2 x - 1)

Solution

\frac{1}{2 ( 2 x - 1 ) ^{\frac{3}{4}}}

Solution steps

\frac{d}{d x} (4 2 x - 1)

Apply the chain rule:

\frac{1}{4 ( 2 x - 1 ) ^{\frac{3}{4}}} \frac{d}{d x} (2 x - 1)

= \frac{1}{4 ( 2 x - 1 ) ^{\frac{3}{4}}} \frac{d}{d x} (2 x - 1)

\frac{d}{d x} (2 x - 1) = 2

= \frac{1}{4 ( 2 x - 1 ) ^{\frac{3}{4}}} \cdot 2

Simplify

\frac{1}{4 ( 2 x - 1 ) ^{\frac{3}{4}}} \cdot 2 : \frac{1}{2 ( 2 x - 1 ) ^{\frac{3}{4}}}

= \frac{1}{2 ( 2 x - 1 ) ^{\frac{3}{4}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[4]{2x-1} ?
The derivative of \sqrt[4]{2x-1} is 1/(2(2x-1)^{3/4)}
What is the first derivative of \sqrt[4]{2x-1} ?
The first derivative of \sqrt[4]{2x-1} is 1/(2(2x-1)^{3/4)}