Calc III Ch13 Notes_Part25

Calc III Ch13 Notes_Part25 - EX Find the extrema of f(x y =...

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Unformatted text preview: EX: Find the extrema of f (x, y) = y2 — x2 . The critical point above is usually referred to as a saddle point. 2nd derivative test: Let f have continuous 2rld partials on an open region containing (a, b) such that Consider d= l. Ifd>0and ffl(a,b)>0,thenfhasa at(a,b) 2. Ifd>0 and fxx(a,b)<0,thenfhasa at (a, b) 3. Ifd<0, then fhas a 4. Ifd = 0, this test is EX: Find the local extrema of f (x, y) = 9 — 2x + 4y — x2 — 4 y2 ...
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