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Popular >

derivative of (x+6^{2/3})

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 6) = 1

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

Simplify

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

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y^{^{''}} + 25 y = 0.5 sin (5 t), y (0) = 0, y^{^{'}} (0) = 0

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Frequently Asked Questions (FAQ)

What is the derivative of (x+6^{2/3}) ?
The derivative of (x+6^{2/3}) is 2/(3(x+6)^{1/3)}
What is the first derivative of (x+6^{2/3}) ?
The first derivative of (x+6^{2/3}) is 2/(3(x+6)^{1/3)}