Question: Suppose that f: Rn Rm is differentiable at a, and that g: Rm R is differentiable at b = f(a). Prove that if

Suppose that f: Rn → Rm is differentiable at a, and that g: Rm → R is differentiable at b = f(a). Prove that if g(b) is a local extremum of g, then (g o f)(a) = 0.

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