Abstract
We construct a continuous strictly increasing function such that at each point one of its right Dini derivates is $0$ or $\infty$, and at each point one of its left Dini derivates is $0$ or $\infty$. Thus at no point can it have a positive real unilateral derivative.
Citation
F. S. Cater. "On the Dini Derivates of a Particular Function." Real Anal. Exchange 25 (2) 943 - 946, 1999/2000.
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