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Popular >

derivative of 2/(x^3)-8/x

Solution

derivative of

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

Solution

- \frac{6}{x ^{4}} + \frac{8}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

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

= - \frac{6}{x ^{4}} - (- \frac{8}{x ^{2}})

Simplify

= - \frac{6}{x ^{4}} + \frac{8}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 2/(x^3)-8/x ?
The derivative of 2/(x^3)-8/x is -6/(x^4)+8/(x^2)
What is the first derivative of 2/(x^3)-8/x ?
The first derivative of 2/(x^3)-8/x is -6/(x^4)+8/(x^2)