What is the derivative of x\sqrt[3]{x} ?

The derivative of x\sqrt[3]{x} is (4\sqrt[3]{x})/3

What is the first derivative of x\sqrt[3]{x} ?

The first derivative of x\sqrt[3]{x} is (4\sqrt[3]{x})/3

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derivative of

Solution steps

Simplify

= \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

What is the derivative of x\sqrt[3]{x} ?
The derivative of x\sqrt[3]{x} is (4\sqrt[3]{x})/3
What is the first derivative of x\sqrt[3]{x} ?
The first derivative of x\sqrt[3]{x} is (4\sqrt[3]{x})/3