Question

Let f: double-struck R4 → double-struck R and c(t): double-struck R → double-struck R4. Suppose ∇f(1, 1, π, e6) = (0, 1, 5, −2), c(π) = (1, 1, π, e6), and c'(π) = (19, 11, 0, 1). Find d(f ∘ c)/dt when t = π.

Answer 1

d ( f o c) / dt = 9

( solution is attached below)