• # question_answer Direction: For the following questions, chose the correct answer from the codes [a], [b] [c] and [d] defined as follows. 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 non-periodic function is not be periodic function. A)  Statement I is true, Statement II is also true and Statement II is the correct explanation of Statement I. B)  Statement I is true, Statement II is true and Statement II is not the correct explanation of Statement I. C)  Statement I is true, Statement II is false. D)  Statement I is false, Statement II is true.

 I. $f(x)=x\,\sin \,x$ is non-periodic, then $f'(x)=x\,cos\,x+sin\,x$ is also non-periodic. II. Let $f(x)=x+\sin \,x$$f'(x)=1+\cos \,x$ If is clear that $f(x)$ is non-periodic but $f'(x)$ is periodic.