Find the absolute extrema of the function f(x, y) = x^4+Y^4-2x^2-2y^2+4 whose boundary consists of a circle of radius 2 centered at the origin, the x axix , and the the line y = 2x .
My attempt
i found critical points from fx and fy and also boundary points along y = 0 and y = 2x .
I am stucking to get points for the equation x^2+ y^2= 4 . can any one please help me how to I get boundary points for thsi equations.
when i get these points i can do other work,
Please
My attempt
i found critical points from fx and fy and also boundary points along y = 0 and y = 2x .
I am stucking to get points for the equation x^2+ y^2= 4 . can any one please help me how to I get boundary points for thsi equations.
when i get these points i can do other work,
Please