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Popular >

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

Solution

\frac{d}{d x} (- \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}}

Popular Examples

integral from 2 to 4 of (x^2+1)/(x^2-5)

\int_{2}^{4} \frac{x ^{2} + 1}{x ^{2} - 5} d x

integral of x^3cos(x^2)

\int x^{3} cos (x^{2}) d x

integral of xsqrt(x-9)

\int x x - 9 d x

tangent of 3xy^3+4xy=28,(4,1)tangent of

3 x y^{3} + 4 x y = 28, (4, 1)

limit as x approaches 2 of 3x^2-x-10

x \to 2 lim (3 x^{2} - x - 10)

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)