What is the derivative of \sqrt[5]{x}(x-2) ?

The derivative of \sqrt[5]{x}(x-2) is (x-2)/(5x^{4/5)}+\sqrt[5]{x}

What is the first derivative of \sqrt[5]{x}(x-2) ?

The first derivative of \sqrt[5]{x}(x-2) is (x-2)/(5x^{4/5)}+\sqrt[5]{x}

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derivative of

Solution steps

Apply the Product Rule:

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

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Simplify

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What is the derivative of \sqrt[5]{x}(x-2) ?
The derivative of \sqrt[5]{x}(x-2) is (x-2)/(5x^{4/5)}+\sqrt[5]{x}
What is the first derivative of \sqrt[5]{x}(x-2) ?
The first derivative of \sqrt[5]{x}(x-2) is (x-2)/(5x^{4/5)}+\sqrt[5]{x}