Solution

extreme

Solution

Solution steps
Find the critical points:
Check the sign of at each critical point
Check critical point Saddle
Check critical point Minimum

Graph

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Popular Examples

extreme f(x)=sqrt(x^2+81)extreme f(x)=5x-4ln(4x)extreme f(x)=x^4-3x^2=x^2(x^2-3)extreme g(x,y)=x^3+y^3-3x-3yextreme f(x)=-x^6-3x^3+x+1

Frequently Asked Questions (FAQ)

  • What is the extreme f(x,y)=x^3+y^2-12x-2y ?

    The extreme f(x,y)=x^3+y^2-12x-2y is Saddle(-2,1),Minimum(2,1)