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Popular Calculus >

derivative of 2/(x^3+5/(x^2))

Solution

\frac{d}{d x} (\frac{2}{x ^{3}} + \frac{5}{x ^{2}})

Solution

- \frac{6}{x ^{4}} - \frac{10}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{2}{x ^{3}} + \frac{5}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2}{x ^{3}}) + \frac{d}{d x} (\frac{5}{x ^{2}})

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

\frac{d}{d x} (\frac{5}{x ^{2}}) = - \frac{10}{x ^{3}}

= - \frac{6}{x ^{4}} - \frac{10}{x ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 2/(x^3+5/(x^2)) ?
The derivative of 2/(x^3+5/(x^2)) is -6/(x^4)-(10)/(x^3)
What is the first derivative of 2/(x^3+5/(x^2)) ?
The first derivative of 2/(x^3+5/(x^2)) is -6/(x^4)-(10)/(x^3)