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Popular >

derivative of-1/(x^4-5/(x^2))

Solution

\frac{d}{d x} (- \frac{1}{x ^{4}} - \frac{5}{x ^{2}})

Solution

\frac{4}{x ^{5}} + \frac{10}{x ^{3}}

Solution steps

\frac{d}{d x} (- \frac{1}{x ^{4}} - \frac{5}{x ^{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{1}{x ^{4}}) - \frac{d}{d x} (\frac{5}{x ^{2}})

\frac{d}{d x} (\frac{1}{x ^{4}}) = - \frac{4}{x ^{5}}

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

= - (- \frac{4}{x ^{5}}) - (- \frac{10}{x ^{3}})

Simplify

= \frac{4}{x ^{5}} + \frac{10}{x ^{3}}

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Frequently Asked Questions (FAQ)

What is the derivative of-1/(x^4-5/(x^2)) ?
The derivative of-1/(x^4-5/(x^2)) is 4/(x^5)+(10)/(x^3)
What is the first derivative of-1/(x^4-5/(x^2)) ?
The first derivative of-1/(x^4-5/(x^2)) is 4/(x^5)+(10)/(x^3)