Thread: Finding 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.

Hello,

Calculate and


A critical point is a point where both and are equal to 0.

I was more concerned about part b