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Popular >

derivative of y=\sqrt[3]{x}-1/(x^2)

Solution

derivative of

Solution

\frac{x ^{3} + 6 x ^{\frac{2}{3}}}{3 x ^{\frac{11}{3}}}

Solution steps

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

= \frac{1}{3 x ^{\frac{2}{3}}} - (- \frac{2}{x ^{3}})

Simplify

\frac{1}{3 x ^{\frac{2}{3}}} - (- \frac{2}{x ^{3}}) : \frac{x ^{3} + 6 x ^{\frac{2}{3}}}{3 x ^{\frac{11}{3}}}

= \frac{x ^{3} + 6 x ^{\frac{2}{3}}}{3 x ^{\frac{11}{3}}}

Popular Examples

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\int \frac{( ln ( x ) ) ^{36}}{x} d x

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\int_{- 1}^{1} (6 - 6 x^{2})^{2} d x

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x \to \infty lim (arctan (5) - arctan (x + 1))

Frequently Asked Questions (FAQ)

What is the derivative of y=\sqrt[3]{x}-1/(x^2) ?
The derivative of y=\sqrt[3]{x}-1/(x^2) is (x^3+6x^{2/3})/(3x^{11/3)}
What is the first derivative of y=\sqrt[3]{x}-1/(x^2) ?
The first derivative of y=\sqrt[3]{x}-1/(x^2) is (x^3+6x^{2/3})/(3x^{11/3)}