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Popular Calculus >

derivative of-(32)/(x^3)+4/(x^2)

Solution

derivative of

- \frac{32}{x ^{3}} + \frac{4}{x ^{2}}

Solution

\frac{96}{x ^{4}} - \frac{8}{x ^{3}}

Solution steps

\frac{d}{d x} (- \frac{32}{x ^{3}} + \frac{4}{x ^{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{32}{x ^{3}}) + \frac{d}{d x} (\frac{4}{x ^{2}})

\frac{d}{d x} (\frac{32}{x ^{3}}) = - \frac{96}{x ^{4}}

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

= - (- \frac{96}{x ^{4}}) - \frac{8}{x ^{3}}

Simplify

= \frac{96}{x ^{4}} - \frac{8}{x ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-(32)/(x^3)+4/(x^2) ?
The derivative of-(32)/(x^3)+4/(x^2) is (96)/(x^4)-8/(x^3)
What is the first derivative of-(32)/(x^3)+4/(x^2) ?
The first derivative of-(32)/(x^3)+4/(x^2) is (96)/(x^4)-8/(x^3)