Question: Consider the subspace W of D, given by W = span (cos x, sin x, x cos x, x sin x). (a) Find the matrix

Consider the subspace W of D, given by
W = span (cos x, sin x, x cos x, x sin x).
(a) Find the matrix of D with respect to
B = {cos x, sin x, x cos x, x sin x}.
(b) Compute the derivative of f(x) = cos x + 2x cos x indirectly, using Theorem 6.26, and verify that it agrees with f' (x) as computed directly.

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