Home
Class 12
MATHS
bb"Statement I" The function f(x) =xsinx...

`bb"Statement I"` The function f(x) =xsinx and f'(x)=xcosx+sinx are both non-periodic.
`bb"Statement II"` The derivative of differentiable functions (non-periodic) is non-periodic function.

A

(A) Statement I is true,Statement II is also true

B

(B) Statement I is false,Statement II is also false

C

(C)Statement I is true,Statement II is false

D

(D) Statement I is false ,Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
c
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|25 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Differentiate the function f(x) = sqrt(x-2)

Find the second order derivative of the function x.cosx

Show that the function f(x) = cos 2x is periodic and find its period.

Statement I :The function f(x)=(x^(3)+3x-4)(x^(2)+4x-5) has local extremum at x=1. Statement II :f(x) is continuos and differentiable and f'(1)=0.

Let f(x)=sin x bb"Statement I" f is not a polynominal function. bb"Statement II" nth derivative of f(x), w.r.t. x, is not a zero function for any positive integer n.

The period of the function f(x) = cos 4x + tan 3x is :

bb"Statement I" The equation f(x)=4x^(5)+20x-9=0 has only one real root. bb"Statement II" f'(x)=20x^(4)+20=0 has no real root.

Find the derivatives of the following function : f(x) =pi .

Find the derivative at x = 2 of the function f(x) = 3x.

Differentiation of the function : f(x) = 4x+3