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.

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

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IL f(x, y) = 2x®-4x + first find the 2x² - 4x + y²-44 critical point diff*y) = 4x - 4 ay f of(x,y) ay-4 ax gef 4 f 11 20 &f d D 8 Yo and 86(1,9) = 4 (the) dx² Is if oxo and 8:{(0.6) so, then the Play has dx2 a reelative minimum at (a, b), by f(l,g) is

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