What is (\partial)/(\partial x)(\sqrt[3]{x}) ?

The answer to (\partial)/(\partial x)(\sqrt[3]{x}) is 1/(3x^{2/3)}

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(\partial)/(\partial x)(\sqrt[3]{x})

\frac{1}{3 x ^{\frac{2}{3}}}

Solution steps

Apply radical rule:

= \frac{\partial}{\partial x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

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

Simplify

\frac{1}{3} x^{\frac{1}{3} - 1} : \frac{1}{3 x ^{\frac{2}{3}}}

= \frac{1}{3 x ^{\frac{2}{3}}}

e^{17 x}

f (x) = x ln (x)

\frac{d}{d x} (x e^{2 x^{2} - 4 x})

y = x^{3} - 2 x + 2, (4, 58)

- \frac{1}{( 1 - x ) ^{2}}

What is (\partial)/(\partial x)(\sqrt[3]{x}) ?
The answer to (\partial)/(\partial x)(\sqrt[3]{x}) is 1/(3x^{2/3)}