In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct answer out of the following choices.
Let f(x) be a polynomial function of degree 6 such that `d/(dx) (f(x)) = (x - 1)^3 (x - 3)^2`, then
ASSERTION (A): f(x) has a minimum at x = 1.
REASON (R): When `d/(dx) (f(x)) < 0, AA x in (a - h, a)` and `d/(dx) (f(x)) > 0, AA x in (a, h + a)`, where `h` is an infinitesimally small positive quantity, then f(x) has a minimum at x = a, provided f(x) is continuous at x = a.

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A).
B. Both (A) and (R) are true but (R) is not the correct explanation of (A).
C. (A) is true but (R) is false.
D. (A) is false but (R) is true.