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Popular Calculus >

derivative of 2x-((250)/(x^2))

Solution

derivative of

2 x - (\frac{250}{x ^{2}})

Solution

2 + \frac{500}{x ^{3}}

Solution steps

\frac{d}{d x} (2 x - \frac{250}{x ^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{250}{x ^{2}})

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (\frac{250}{x ^{2}}) = - \frac{500}{x ^{3}}

= 2 - (- \frac{500}{x ^{3}})

Simplify

= 2 + \frac{500}{x ^{3}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 2x-((250)/(x^2)) ?
The derivative of 2x-((250)/(x^2)) is 2+(500)/(x^3)
What is the first derivative of 2x-((250)/(x^2)) ?
The first derivative of 2x-((250)/(x^2)) is 2+(500)/(x^3)