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Popular >

derivative of (x+1^{1/3})

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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Frequently Asked Questions (FAQ)

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