MathDB

6

Part of 1972 Poland - Second Round

Problems(1)

|f'(x) - f'(y)| <= 4|x-y| , differentiable

Source: Polish MO Second Round 1972 p6

9/8/2024
Prove that there exists a function f f defined and differentiable in the set of all real numbers, satisfying the conditions ∣f′(x)−f′(y)∣≤4∣x−y∣|f'(x) - f'(y)| \leq 4|x-y|.
algebracalculus