Let S , be the set of all functions f : 0 , 1 → R , which are continuous on 0 , 1 , and differentiable on 0 , 1 . Then for every f in S , there exists c ∈ 0 , 1 , depending on f , such that.

Question

TestHub · Accepted Answer

Let us consider f x , a constant function, as constant functions are continuous and differentiable everywhere. Then, f 1 = f c & f ' c = 0 So, f 1 - f c 1 - c = f ' c = 0 .

Mathematics - Continuity - Differentiability Question with Solution | TestHub

Options:

Doubts & Discussion