Theory?

Calculus Level 3

Which statements below are true?

a) There exists a continuous function \(f:\mathbb{R} \rightarrow \mathbb{R}\) such that it is not differentiable at any point.

b) If a complex-valued function \(f:\mathbb{C} \rightarrow \mathbb{C}\) has a first derivative, then it is infinitely derivative.

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