# Inflection, Convex and Concave Sections – A multiplication of a polynomial and an exponential functions – Exercise 6849

Exercise

Given the function

$$y=(1+x^2)e^x$$

Find its convex and concave sections and its inflection points.

Convex sections

$$x>-1, x<-3$$

Concave sections

$$-3

Inflection points

$$(-3,\frac{10}{e^3}),(-1,\frac{2}{e})$$

### Solution

Coming soon…

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