What is the derivative of 7x\sqrt[3]{x} ?

The derivative of 7x\sqrt[3]{x} is (28\sqrt[3]{x})/3

What is the first derivative of 7x\sqrt[3]{x} ?

The first derivative of 7x\sqrt[3]{x} is (28\sqrt[3]{x})/3

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derivative of

Solution steps

Simplify

= \frac{d}{d x} (7 x^{\frac{4}{3}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (x^{\frac{4}{3}})

Apply the Power Rule:

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

= 7 \cdot \frac{4}{3} x^{\frac{4}{3} - 1}

Simplify

What is the derivative of 7x\sqrt[3]{x} ?
The derivative of 7x\sqrt[3]{x} is (28\sqrt[3]{x})/3
What is the first derivative of 7x\sqrt[3]{x} ?
The first derivative of 7x\sqrt[3]{x} is (28\sqrt[3]{x})/3