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Popular Calculus >

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

Solution

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

Solution

- \frac{25}{x ^{6}} - \frac{6}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{5}{x ^{5}}) = - \frac{25}{x ^{6}}

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

= - \frac{25}{x ^{6}} - \frac{6}{x ^{3}}

Graph

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\frac{d}{d x} (csc (6 x))

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\int_{\frac{π}{2}}^{π} π sin^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of 5/(x^5+3/(x^2)) ?
The derivative of 5/(x^5+3/(x^2)) is -(25)/(x^6)-6/(x^3)
What is the first derivative of 5/(x^5+3/(x^2)) ?
The first derivative of 5/(x^5+3/(x^2)) is -(25)/(x^6)-6/(x^3)