JEE Main 20208 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002
Let S be the set of all functions ƒ : [0,1] R,
which are continuous on [0,1] and differentiable
on (0,1). Then for every ƒ in S, there exists a
c (0,1), depending on ƒ, such that