| 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.
Correct Answer: C
Solution :
| 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. |
You need to login to perform this action.
You will be redirected in
3 sec
