JEE Advance - Mathematics (1993 - No. 24)

Find all possible real values of $$b$$ such that $$f(x)$$ has the smallest value at $$x=1$$.

$$b \in (-2, -1) \cup (1, \infty)$$

$$b \in [-2, -1] \cup [1, \infty)$$

$$b \in (-2, -1) \cup (1, 5)$$

$$b \in (- \infty, -2) \cup (-1, 1)$$

$$b \in (- \infty, -2] \cup [-1, 1]$$