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Popular >

derivative of 100+2/x+(x^2)/5

Solution

derivative of

100 + \frac{2}{x} + \frac{x ^{2}}{5}

Solution

\frac{2 x}{5} - \frac{2}{x ^{2}}

Solution steps

\frac{d}{d x} (100 + \frac{2}{x} + \frac{x ^{2}}{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (100) + \frac{d}{d x} (\frac{2}{x}) + \frac{d}{d x} (\frac{x ^{2}}{5})

\frac{d}{d x} (100) = 0

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

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

= 0 - \frac{2}{x ^{2}} + \frac{2 x}{5}

Simplify

= \frac{2 x}{5} - \frac{2}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 100+2/x+(x^2)/5 ?
The derivative of 100+2/x+(x^2)/5 is (2x)/5-2/(x^2)
What is the first derivative of 100+2/x+(x^2)/5 ?
The first derivative of 100+2/x+(x^2)/5 is (2x)/5-2/(x^2)