(a) Differentiate the Maclaurin polynomial of degree 5 for f(x) = sin x and compare the result with the Maclaurin polynomial of degree 4 for g(x) = cos x.

(b) Differentiate the Maclaurin polynomial of degree 6 for f(x) = cos x and compare the result with the Maclaurin polynomial of degree 5 for g(x) = sin x.

(c) Differentiate the Maclaurin polynomial of degree 4 for f(x) = e^x. Describe the relationship between the two series.