Consider the functions and (a) Show that both functions have a critical point at (b)

Chapter 13, Problem 60

(choose chapter or problem)

Consider the functions.

\(f(x, y)=x^{2}-y^{2} \text { and } g(x, y)=x^{2}+y^{2}\)

(a) Show that both functions have a critical point at (0, 0).

(b) Explain how f and g behave differently at this critical point.

Text Transcription:

f(x,y)=x^2-y^2andg(x,y)=x^2+y^2

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