Inflection, Convex and Concave Sections – An exponential function – Exercise 6841

Exercise

Given the function

y=ex2y=e^{-x^2}

Find its convex and concave sections and its inflection points.

Final Answer

Convex sections

x<12x<-\frac{1}{\sqrt{2}}

x>12x>\frac{1}{\sqrt{2}}

Concave section

12<x<12-\frac{1}{\sqrt{2}}<x<\frac{1}{\sqrt{2}}

Inflection points

(12,1e),(12,1e)(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{e}}),(-\frac{1}{\sqrt{2}},\frac{1}{\sqrt{e}})

Solution

Coming soon…

Share with Friends

Leave a Reply