Statement I The function and are both non-periodic

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Statement I The function

f(x) = x \sin x

and

f'(x) = x \cos x + \sin x

are both non-periodic. Statement II The derivative of differentiable function (non-periodic) is non-periodic function.