The function f (x, y) = x³y + y3 – 3x?y + 2 has critical points at (0,0), (2,), (2, -) and (3,0). Classify each point as the location of a local maximum, local minimum, or saddle point. If the second derivative test fails at any point, you need only write "fails" next to that work.
The function f (x, y) = x³y + y3 – 3x?y + 2 has critical points at (0,0), (2,), (2, -) and (3,0). Classify each point as the location of a local maximum, local minimum, or saddle point. If the second derivative test fails at any point, you need only write "fails" next to that work.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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