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Popular >

derivative of \sqrt[3]{7x}

Solution

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

Solution

\frac{7 ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

Solution steps

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

Apply the chain rule:

\frac{1}{3 ( 7 x ) ^{\frac{2}{3}}} \frac{d}{d x} (7 x)

= \frac{1}{3 ( 7 x ) ^{\frac{2}{3}}} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= \frac{1}{3 ( 7 x ) ^{\frac{2}{3}}} \cdot 7

Simplify

\frac{1}{3 ( 7 x ) ^{\frac{2}{3}}} \cdot 7 : \frac{7 ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

= \frac{7 ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[3]{7x} ?
The derivative of \sqrt[3]{7x} is (7^{1/3})/(3x^{2/3)}
What is the first derivative of \sqrt[3]{7x} ?
The first derivative of \sqrt[3]{7x} is (7^{1/3})/(3x^{2/3)}