What is (d^2)/(dx^2)(x\sqrt[3]{x}) ?

The answer to (d^2)/(dx^2)(x\sqrt[3]{x}) is 4/(9x^{2/3)}

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(d^2)/(dx^2)(x\sqrt[3]{x})

\frac{d ^{2}}{d x ^{2}} (x 3 x)

\frac{4}{9 x ^{\frac{2}{3}}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x 3 x)

Simplify

x 3 x : x^{\frac{4}{3}}

= \frac{d ^{2}}{d x ^{2}} (x^{\frac{4}{3}})

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

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

\frac{d}{d x} (\frac{4 3 x}{3}) = \frac{4}{9 x ^{\frac{2}{3}}}

= \frac{4}{9 x ^{\frac{2}{3}}}

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What is (d^2)/(dx^2)(x\sqrt[3]{x}) ?
The answer to (d^2)/(dx^2)(x\sqrt[3]{x}) is 4/(9x^{2/3)}