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Popular >

derivative of \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

(\partial)/(\partial x)(-1/((10+x*y)))

\frac{\partial}{\partial x} (- \frac{1}{( 10 + x \cdot y )})

derivative of x(8^{-2x})derivative of

x (8^{- 2 x})

laplacetransform 3/2 sin(2t)laplace transform

\frac{3}{2} sin (2 t)

limit as x approaches 3 of 1/(x-3)

x \to 3 lim (\frac{1}{x - 3})

f(x)=cos^2(2-x^2)

f (x) = cos^{2} (2 - x^{2})

Frequently Asked Questions (FAQ)

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