Consider the function f(x,y)=x^2+y^2+2x^3/

a) Find and classify all critical points.

b) Find the absolute extrema on the disk x^2+y^2 <= 1 using Lagrange multipliers to do the boundary.

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- Apr 30th 2008, 06:37 AMaprilkravitzFinding critical points
Consider the function f(x,y)=x^2+y^2+2x^3/

a) Find and classify all critical points.

b) Find the absolute extrema on the disk x^2+y^2 <= 1 using Lagrange multipliers to do the boundary. - Apr 30th 2008, 06:46 AMMoo
Hello,

Calculate $\displaystyle \frac{\partial f}{\partial x}$ and $\displaystyle \frac{\partial f}{\partial y}$

A critical point is a point where both $\displaystyle \frac{\partial f}{\partial x}$ and $\displaystyle \frac{\partial f}{\partial y}$ are equal to 0. - Apr 30th 2008, 08:31 AMaprilkravitz
I was more concerned about part b