(a) It, for f: AC R + R, at Xo, Ak > 0 for k odd, or Ag < 0 for k even, then show that f cannot have a (local) minimum at xo. b) If A < O for k even, prove that f has a saddle point at xo.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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(a) If, for f: A c R" - R, at xo, A, > 0 for k odd, or Ag < 0 for k even, then
show that f cannot have a (local) minimum at xo.
(b) If Ag < 0 for k even, prove that f has a saddle point at xo.
Transcribed Image Text:(a) If, for f: A c R" - R, at xo, A, > 0 for k odd, or Ag < 0 for k even, then show that f cannot have a (local) minimum at xo. (b) If Ag < 0 for k even, prove that f has a saddle point at xo.
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