What is derivative of f(x)=\sqrt[3]{x},x=27 ?

The answer to derivative of f(x)=\sqrt[3]{x},x=27 is 1/27

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derivative of f(x)=\sqrt[3]{x},x=27

derivative of

\frac{1}{27}

Solution steps

Find the value of

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

for

x = 27 : \frac{1}{27}

\frac{1}{27}

y^{^{'}} = x y^{2} - \frac{y}{x}

y^{^{'}} = (64 x y)^{\frac{1}{3}}

\int_{1}^{\infty} \frac{1}{y ^{2}} d y

y = \frac{x}{2}

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

What is derivative of f(x)=\sqrt[3]{x},x=27 ?
The answer to derivative of f(x)=\sqrt[3]{x},x=27 is 1/27