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# Differentiate the function.$y = \ln (e^{-x} + xe^{-x})$

## $$-\frac{x}{1+x}$$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

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### Video Transcript

in this problem. Where is to find Irmatov? Natural log of your negative explosive extends Even. That's since Peter Negative Eggs are coming here. He can write this one as natural law off each greater X one plus thanks. Now we have two functions involved. Issue port and using properties. A play great with punches. We can let this one. It's an actual of a decorator. X plus direction. Lager Hopefuls began Nation Log of either negative X. You know, none of this is nothing but negative X, so we basically are trying to point their original negative X plus natural love of one plus express to the wife. One is then they enter one plus one over one plus X. Now we'll be multiplying by one plus X. He divided most, but first her by wonderful sex people and as negative or minus X plus one by one for sex thes who canst love and the answer is the negative X device. I will plus six

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp