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

For f(0) = 0, and that f'(x) = [tex]\frac{1}{1 + e^{-f(x)}}[/tex], prove that f(100) < 100

3. The attempt at a solution

I did

[tex]\f(100) = \int_{0}^{100} \frac{dx}{1 + e^{-f(x)}}[/tex]

Unfortunately, I got f(100) back...

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# Prove that f(100) < 100

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