Find and classify all mins and maxs of the function

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Reference no: EM13975358

Non-Linear Programming

Using Calculus, find and classify all mins and maxs of the function f(x,y) = 6 + x³ - 3xy + y³ on the region given by -3 ≤ x ≤ 3 and -3 ≤ y ≤ 3. Remember to check the boundaries.
Using the Solver, find all of the mins and maxs of the function f(x,y) = 6 + x³ - 3xy + y³ on the region given by -3 ≤ x ≤ 3 and -3 ≤ y ≤ 3.
Using Calculus, find and classify all critical points of the function f(x,y) = x² - 4xy² + 2x²y + 4 on the region given by -2 ≤ x ≤ 2 and -2 ≤ y ≤ 2. Remember to check the boundaries.
Using the Solver, find all of the mins and maxs of the function f(x,y) = x² - 4xy² + 2x²y + 4 on the region given by -2 ≤ x ≤ 2 and -2 ≤ y ≤ 2.

Note: For each of the minima and maxima points found, please list the ordered pair, the function value at that point, and whether that point is a locally or globally-optimal point.

Reference no: EM13975358

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