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Statement of a problem № m351

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Define IP: Rn x Rn ->R by IP (x, y) = . (a) Find D(IP) (a,b) and (IP)’ (a,b). (b) If f,g: R -> Rn are differentiable, and h: R -> R is defined by h(t) = , show that hI (a) = . (c) If f: R -> Rn is differentiable and |f(t) = 1 for all t, show that = 0.
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