C. Under particular conditions
D. May be
The question was asked at a job interview.
This question is from Mean Value Theorem in section Continuity and Differentiability of Mathematics – Class 12
Easy explanation: According to Rolle’s theorem, if f : [a,b] → R is a function such that
i) f is continuous on [a,b]
ii) f is differentiable on (a,b)
iii) fA. = fB. then there exists at least one point c ∈ (a,b) such that f’C. = 0