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Homework Statement:

Let function ƒ be differentiable on interval [0, 1] and ƒ(0) = 0, ƒ(1) = 1.
Which of the following is true?
(Edited)
be f Differentiable function In section [0,1] and f(0)=0, f(1)=1. so:
a. f A monotonous function arises in section [0,1].
b. There is a point c∈[0,1] so that f'(c)=1.
c. There is a point c∈(0,1) where f has Local max.
I have to choose one correct answer.
a. f A monotonous function arises in section [0,1].
b. There is a point c∈[0,1] so that f'(c)=1.
c. There is a point c∈(0,1) where f has Local max.
I have to choose one correct answer.