Consider the functions f(x, y) = x2 − y2 and g(x, y) = x2 + y2 . (a) Show that both functions have a critical point at (0, 0). (b) Explain how f and g behave differently at this critical point.
Consider the functions f(x, y) = x2 − y2 and g(x, y) = x2 + y2 . (a) Show that both functions have a critical point at (0, 0). (b) Explain how f and g behave differently at this critical point.
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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Consider the functions f(x, y) = x2 − y2 and g(x, y) = x2 + y2 . (a) Show that both functions have a critical point at (0, 0). (b) Explain how f and g behave differently at this critical point.
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