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

Exercise

Given the function

y=(1+x2)exy=(1+x^2)e^x

Find its convex and concave sections and its inflection points.

Final Answer

Convex sections

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

Concave sections

3<x<1-3<x<-1

Inflection points

(3,10e3),(1,2e)(-3,\frac{10}{e^3}),(-1,\frac{2}{e})

Solution

Coming soon…

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