(1) Let f: R → R be a differentiable function such that f'(x) ‡ 1 for all x. Show that there exists at most one x ER suc

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1 Let F R R Be A Differentiable Function Such That F X 1 For All X Show That There Exists At Most One X Er Suc 1 (24.95 KiB) Viewed 11 times

(1) Let f: R → R be a differentiable function such that f'(x) ‡ 1 for all x. Show that there exists at most one x ER such that f(x) = x. (Such an x is called a fixed point of f.)