Question

Is derivative of an aperiodic function periodic or aperiodic?

Answer 1

Graph of a non-periodic function, whose derivative is a periodic function. Concluded that an antiderivative of a periodic function is not neces- sarily periodic since the function f is not periodic but f' is a periodic function since 'f'(x) = cos(x) for every real x such that x ≠ 2pk (k any integer number)'.

Answer 2

Graph of a non-periodic function, whose derivative is a periodic function.