(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y= (x^2 -7) e^x

3. The attempt at a solution

I'm trying to find inflection points by setting the second derivative=0

I found that the derivative is:

##2xe^{x}+x^{2}e^{x}-7e^{x}=0##

##e^{x}[2x+x^{2}-7]=0##

Then, the 2nd derivative:

##e^{x}[(x-1)(x+5)]=0##, then the inflection points are at x=- infinity; 1; -5.

Where ##e^{x}=0 ##, happens when x=-infinity

Is it correct to use - infinity as a value of x ?

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# Homework Help: Find Intervals, where Function is Convex or Concave and Inflection Points

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