Homework SourseConsider the function z 3xx32y2y4 Find greatest value for g
Consider the function z = 3x-x^3-2y^2+y^4
Find greatest value for gradient, critical points, the absolute maximum/minimum values and local maximum/minimum values of z on the domain D = {(x, y)| -5<=x<= 5, -2<=y <=2}
Find greatest value for gradient, critical points, the absolute maximum/minimum values and local maximum/minimum values of z on the domain D = {(x, y)| -5<=x<= 5, -2<=y <=2}
Solution
dz/dy=0 and dz/dx=0 this gives local max at (1,0) z=2. local minima at (-1,-1) and (-1,1) z=-3
