Exercise 5. Extreme values (8 pts+12 pts) Let f(x, y) = 2x2 - 4x + y2...

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Exercise 5. Extreme values (8 pts+12 pts) Let f(x, y) = 2x2 - 4x + y2 – 4y +1. 1) The number of critical points of f is: a. 0

2) The point (1,2) is: a. a local maximum for f b. a local minimum forf c. a saddle point for f

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Answer 1

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flary) = f = gx²-4a+y²44 +1 So, = 4*-4: 07 and of = Qy-4 g for critical point point (2o,y) is showers since given of since a cilis and nor minimum neither maximum AC-B² co and 2²€ Ĉ where g²€ B=0?/ dyz Az 02 Oy da2 Now 52 c=024 Az oht q B=0 / dyz da?

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Exercise 5. Extreme values (8 pts+12 pts) Let f(x, y) = 2x2 - 4x + y2...

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