Let f(x, y) = x^2 + y and let ~c(t) = .
(a) Compute d/dt f(~c(t)) using the Chain Rule.
(b) Compute d/dt f(~c(t)) without using the Chain Rule, but instead first writing the
composition f(~c(t)) as a function of t, then differentiating with respect to t in
the usual Calc I way.
(Of course, the two answers must be same!)