Solution

critical points

Solution

Solution steps
Find where is equal to zero or undefined
Identify critical points not in domain
Domain of
is not defined at , therefore:

Graph

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Popular Examples

critical f(x)=sin^2(2x)critical f(x)=x^{4/3}-4x^{1/3}critical f(x)=3x^4-16x^3+6x^2+72x+1critical f(x)=-x^2+7xcritical f(x)=xe^{-2x^2}

Frequently Asked Questions (FAQ)

  • What is the critical f(x)=xe^{1/x} ?

    The critical f(x)=xe^{1/x} is x=1