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.

(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) =

(a) =

(c) If f: R → Rn is differentiable and |f(t) = 1 for all t, show that

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