4. Let f : Rn ---+ Rm be differentiable at a, and 9 : Rm ---+ R...

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4. Let f : Rn ---+ Rm be differentiable at

a, and 9 : Rm ---+ R be differentiable at b = f(a). Prove that if g

(b) is a local extremum of g, then '\1(g 0 f)

(a) = O.

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