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Numerade Educator

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Problem 25 Easy Difficulty

Differentiate.

$ f(x) = \frac {x}{x + \frac {c}{x}} $

Answer

$=\frac{2 c x}{\left(x^{2}+c\right)^{2}}$

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Video Transcript

he It's clear. So when you raid here, so we're gonna take the derivative in terms of facts. For X over x plus C c over x. This is equal to D over d. X for X times X plus be over X minus X be over DX for X plus C over x. This is over X plus see over X square. This becomes equal to negative negative de over de X for X over X square, C plus one x plus x plus C over X all over X plus. See over X square. This becomes equal to negative one minus C over next square times X plus X plus C over X over X plus C over X square. When we simplify, we got to see X over X square plus C square.