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

Exercise

Given the function

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

Find its convex and concave sections and its inflection points.

Final Answer

Convex sections

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

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

Concave section

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

Inflection points

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

Coming soon…

Share with Friends