(Solution) - Define IP Rn x Rn R by IP x y -(2025 Original AI-Free Solution)

Paper Details

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.