(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let the function:

f : I→ I be continuous on I and differentiable on the open set I

for I := [0,1]

Now I need to use Rolle’s Theorem to show that if f'(x) is not equal to 1 in (0, 1), then there is exactly one such point t

2. Relevant equations

I know that theres at least 1 point t ∈ [0, 1] such that f(t) = t.

3. The attempt at a solution

I've tried 3 different proofs for this, but none of them are giving me uniqueness of t. Please help!

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# Homework Help: Rolle’s Theorem

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