Let F = f : [a, b] to R mid f is continuous on [a, b] and differentiable on (a, b). Which one of the following options is correct?

(C) Let f in F and f'(x) ge 0 for all x in (a, b). If f' is zero only at two distinct points, then f is strictly increasing

Q36Section ST (Statistics (Q11–Q65))36 of 65

Lipschitz, secants and Darboux property

Let $\mathcal{F} = \{f : [a, b] \to \mathbb{R} \mid f \text{ is continuous on } [a, b] \text{ and differentiable on } (a, b)\}$ . Which one of the following options is correct?

Pick an option to check your answer. In a mock test a wrong answer here costs 2/3 mark.

Keyboard: A–D answer · S solution · ←/→ previous/next