"If a function can be differentiated, it is a continuous function"(adsbygoogle = window.adsbygoogle || []).push({});

By contraposition: "If a function is not continuous, it cannot be differentiated"

Here comes the question: Is the following statement true?

"If a function is not right(left) continuous in a certain point a, then the function has no right(left) derivative in that point"

Thanks in advance

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# B Continuous and differentiable functions

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