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Popular Functions >

inflection f(x)=e^{-x^3}

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Solution

inflection

Solution

Solution steps
Find where f′′(x) is equal to zero or undefined
Identify inflection points not in domain or where f(x) is not continuous
Domain of e−x3:−∞<x<∞
All inflection points are in domain and not on domain edges
Find intervals:Concave Upward:−∞<x<0,Concave DownwardConcave Upward
Plug x=0into e−x3:1
(0,1)
Plug into e−x3:e32​1​

Graph

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Popular Examples

inverse of 2/x-7f(x)=\sqrt[5]{x}domain of f(x)=sqrt(3)slope of 3-2xasymptotes of f(x)=(x^3-4x)/(4x^2-12x)

Frequently Asked Questions (FAQ)

  • What is the inflection f(x)=e^{-x^3} ?

    The inflection f(x)=e^{-x^3} is (0,1),(\sqrt[3]{2/3}, 1/(e^{2/3)})
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