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Popular >

derivative of \sqrt[3]{1-2x}

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

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Frequently Asked Questions (FAQ)

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