Antima jangid Asked a Question
December 5, 2021 12:40 pmpts 30 pts
Let f:R2R bea smooth functions with positive definite Hessian at every point Let(a, he R be a critical point of f.Then (a) f has aglobal minimumat (a, b. (b) f has a local, but nota gobal minimumat a,b (c) f has a local, but not a gobal atits (a. F Mathe (dfhasa dlohal maximumat (a b
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  • Navdeep goyal 1 thankyou
    Since f is positive definite.therefore f is convex. if a convex function admits a critical point ∇f(a,b)=0, then (a,b) is a global minimum. So answer is (a)
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