(1 point) Let C (R) be the vector space of "smooth" functions, i.e., real-valued functions f(x) in the variable x that have infinitely many derivatives at all points X E R. Let D: C° (R) → C (R) and D²: C° (R) → C (R) be the linear -> transformations defined by the first derivative D(f(x)) = f'(x) and the second derivative D² (f(x)) = ƒ" (x). a. Determine whether the smooth function g(x) = 4e-4x is an eigenvector of D. If so, give the associated eigenvalue. If not, enter NONE. Eigenvalue = b. Determine whether the smooth function h(x) = sin(7x) is an eigenvector of D². If so, give the associated eigenvalue. If not, enter NONE. Eigenvalue =