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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}})

Solution

Coming soon…

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