Observe the following statements :A : $f(x)=2x^3-9x^2+12x-3$ is increasing outside the interval $(1,2)$ R : f'(x) < 0 for $x \in (1,2)$ Then which of the following is true ?

Question

(a) Both A and R are true, and R is not the correct reason for A

(b) Both A and R are true, and R is the correct reason for A.

(c) A is true but R is false

(d) A is false but R is true