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Numerade Educator

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Problem 14 Easy Difficulty

Differentiate.

$ y = \frac {\sqrt{x}}{2 + x} $

Answer

$-\frac{x-2}{2 \sqrt{x}(x+2)^{2}}$

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Video Transcript

Hey, it's Claire. So in your brain here, So we're gonna find the derivative and respect to X. We're a square root of X over X plus two. This becomes equal to D over DX for square root of X turned X plus two minus square root of X D over DX your X plus two all over X plus two square. I'm only simplify. We got X plus two over two square root of Epps, minus one plus zero square root of X over X plus two square. We're just equal to X plus two over two square root of X minus square root of X over X plus two squared just equal to negative X minus two over two square root of X times X plus two square.