For f(x, y) = e-3x²-4y², type of critical point: ? For f(x, y) = e³x²-4y², type of critical point: ? For f(x, y) = 3x² +4y²+2, type of critical point: ? For f(x, y) = 3x² + 4y + 2, type of critical point: ?
For f(x, y) = e-3x²-4y², type of critical point: ? For f(x, y) = e³x²-4y², type of critical point: ? For f(x, y) = 3x² +4y²+2, type of critical point: ? For f(x, y) = 3x² + 4y + 2, type of critical point: ?
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Assignment 10: Problem 6
Each of the following functions has at most one critical point. Graph a few level curves and a few gradients and, on this basis alone, decide with little explanations whether the critical point is a local maximum, a local minimum, a saddle point, or that there is no critical point.
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