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Popular >

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

Solution

derivative of

f (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}}

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Frequently Asked Questions (FAQ)

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