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Popular >

derivative of \sqrt[3]{6x+8}

Solution

Solution

\frac{2}{( 6 x + 8 ) ^{\frac{2}{3}}}

Solution steps

Apply the chain rule:

\frac{1}{3 ( 6 x + 8 ) ^{\frac{2}{3}}} \frac{d}{d x} (6 x + 8)

= \frac{1}{3 ( 6 x + 8 ) ^{\frac{2}{3}}} \frac{d}{d x} (6 x + 8)

\frac{d}{d x} (6 x + 8) = 6

= \frac{1}{3 ( 6 x + 8 ) ^{\frac{2}{3}}} \cdot 6

Simplify

\frac{1}{3 ( 6 x + 8 ) ^{\frac{2}{3}}} \cdot 6 : \frac{2}{( 6 x + 8 ) ^{\frac{2}{3}}}

= \frac{2}{( 6 x + 8 ) ^{\frac{2}{3}}}

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[3]{6x+8} ?
The derivative of \sqrt[3]{6x+8} is 2/((6x+8)^{2/3)}
What is the first derivative of \sqrt[3]{6x+8} ?
The first derivative of \sqrt[3]{6x+8} is 2/((6x+8)^{2/3)}