Use Exercise 11.2.20 to simplify the following generalized functions; then write out how they act on a suitable test function u(x):
(a) φp(x) = (x - 2)δ'(x)
(b) ψ(x) = (1 + sin x) [δ (x) + (δ'(x)]
(c) x(x) = x2[δ(x - 1) - δ'(x -2)]
(d) γ(x) = exδ"(x + l)