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Popular >

derivative of y=x^{4/3}

Solution

derivative of

y = x^{\frac{4}{3}}

Solution

\frac{4 x ^{\frac{1}{3}}}{3}

Solution steps

\frac{d}{d x} (x^{\frac{4}{3}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{4}{3} x^{\frac{4}{3} - 1}

Simplify

\frac{4}{3} x^{\frac{4}{3} - 1} : \frac{4 x ^{\frac{1}{3}}}{3}

= \frac{4 x ^{\frac{1}{3}}}{3}

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\int \frac{cos ( \frac{π}{x ^{31}} )}{x ^{32}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of y=x^{4/3} ?
The derivative of y=x^{4/3} is (4x^{1/3})/3
What is the first derivative of y=x^{4/3} ?
The first derivative of y=x^{4/3} is (4x^{1/3})/3