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Numerade Educator

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Problem 6 Easy Difficulty

Differentiate.

$ y = \frac {e^x}{1 - e^x} $

Answer

$\frac{e^{x}}{\left(1-e^{x}\right)^{2}}$

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Video Transcript

he looks clear. So when you right here. So we're gonna take the derivative and we got dee over D X or eat the X over one minus heats. Thanks. Which is equal to D over D. X needs the axe. Times one minus eats the X minus. Eat The X comes de over de ex one minus Eat the eggs. This is all over. One minus each The X square This becomes equal to one minus. Eat the axe Times e to the X minus zero minus meets the X terms Eat the X all over one minus Eat the axe square but just equal thio e to two x plus one minus Eat the ex Comfy to the ex all over one minus Eat the X square When we rewrite and simplify we got eat to the ex Over eat to the X minus one square