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Popular >

derivative of \sqrt[5]{6x}

Solution

Solution

\frac{6 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

Solution steps

Apply the chain rule:

\frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \frac{d}{d x} (6 x)

= \frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= \frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \cdot 6

Simplify

\frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \cdot 6 : \frac{6 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

= \frac{6 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

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\int_{l n (9)}^{l n (36)} e^{\frac{x}{2}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[5]{6x} ?
The derivative of \sqrt[5]{6x} is (6^{1/5})/(5x^{4/5)}
What is the first derivative of \sqrt[5]{6x} ?
The first derivative of \sqrt[5]{6x} is (6^{1/5})/(5x^{4/5)}