The Mean Value Theorem and Fixed Points
Dr Peyam
Published at : 15 Dec 2021
Published at : 15 Dec 2021
6815 views
209
In this fun application of both the intermediate and mean value theorems, I show that a function f from [0,1] to [0,1] with f’(x) never being equal to 1 has exactly one fixed point, in other words the equation f(x) = x has exactly one solution. Then I present some real-life applications of that theorem. Enjoy!
fixed pointsmean value theoremmvt
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