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Numerade Educator

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Problem 23 Easy Difficulty

Differentiate.

$ f(x) = \frac {x^2e^x}{x^2 + e^x} $

Answer

$\frac{x_{e}^{x}\left(2 e^{x}+x^{3}\right)}{\left(e^{x}+x^{2}\right)^{2}}$

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Video Transcript

he it's clear. So when you made here, we're gonna find the derivative. In terms of packs, we get X square you to the act well, overeat the X plus. Next square. This is people to de over de ex For X Square, eat the X comes to X plus specs square minus X square. Eat the X de over de ex pretty to the X plus X Square well over meets the X plus x square square. This simplified and we get equal to eat the X plus X square terms to excrete the X Let's eat the x x square minus eat X plus two x x square feet. The X all over. Eat the X plus. Next square square. We simplify and we get X eat The X Times to eat the X plus execute well over eat the X plus X square square.