Consider the functions (x, y) = x - y and g(x, y) = x + y. (a)
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Consider the functions
ƒ(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 ƒ and g behave differently at this critical point.
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