For each vector space of functions of one real variable, represent the derivative transformation with respect to

Question:

For each vector space of functions of one real variable, represent the derivative transformation with respect to B, B.
(a) {a cos x + b sin x | a, b ∈ R}, B = (cos x, sin x)
(b) {aex + be2x | a, b ∈ R}, B = (ex, e2x)
(c) {a + bx + cex + dxex | a, b, c, d ∈ R}, B = (1, x, ex, xex)