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Popular Calculus >

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}}

Graph

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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)