Section 14.7: Max Min Problems

Use a graphing device as in Example 4 (or Newton’s method or solve numerically using a calculator or computer) to find the critical points of \(f(x, y) = y^6 - 2y^4 + x^2 - y^2 + y\) correct to three decimal places. Then classify the critical points and find the highest or lowest points on the graph, if any.