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Popular >

derivative of 4/(x^2-2/x)

Solution

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

Solution

- \frac{8}{x ^{3}} + \frac{2}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{4}{x ^{2}}) = - \frac{8}{x ^{3}}

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

= - \frac{8}{x ^{3}} - (- \frac{2}{x ^{2}})

Simplify

= - \frac{8}{x ^{3}} + \frac{2}{x ^{2}}

Popular Examples

3y^3e^xdx+e^{-x}dy=3y^3dx

3 y^{3} e^{x} d x + e^{- x} d y = 3 y^{3} d x

derivative of ln(1-1/x)

\frac{d}{d x} (ln (1 - \frac{1}{x}))

(\partial)/(\partial x)(3y^2+20x^2y^3)

\frac{\partial}{\partial x} (3 y^{2} + 20 x^{2} y^{3})

laplacetransform cos^2(pit)laplace transform

cos^{2} (π t)

x^{2} y^{^{'}} + x y = y^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 4/(x^2-2/x) ?
The derivative of 4/(x^2-2/x) is -8/(x^3)+2/(x^2)
What is the first derivative of 4/(x^2-2/x) ?
The first derivative of 4/(x^2-2/x) is -8/(x^3)+2/(x^2)