5. Let f be defined for all real numbers and suppose f(x)-f(y)| ≤ (x - y)² for all real numbers, x and y. Prove f'(y) = 0. Vy E R.

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5. Let f be defined for all real numbers and suppose if(x)-f(y)| ≤ (x - y)² for all real
numbers, x and y. Prove f'(y) = 0, vy E R.
Transcribed Image Text:5. Let f be defined for all real numbers and suppose if(x)-f(y)| ≤ (x - y)² for all real numbers, x and y. Prove f'(y) = 0, vy E R.
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