What is the derivative of 4x\sqrt[3]{x^4} ?

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

What is the first derivative of 4x\sqrt[3]{x^4} ?

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

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Solution steps

Take the constant out:

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

\frac{d x}{d x} = 1

Simplify

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