Home
Class 12
MATHS
Let f(x) = |sin x|. Then...

Let f(x) = |sin x|. Then

A

f is every where differentiable

B

f is every where differentiable bu not at `x = npi, n in Z`

C

f is every where continuous but not differentiable at `x = (2n+1)pi/2, n in Z`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

Let f(x) =cos x sin 2x , then :

If g is the inverse function of f and f'(x) = sin x then g'(x) =

Examine that f(x) = sin |x| is a continuous function.

Let [x] = the greatest integer less than or equal to x and let f(x) = sinx + cosx . Then the most general solutions of f(x) = [f(pi/10)] are :

Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous at x =0, then the value of k is

Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) = k . The value of k which makes f continuous at pi//2 is :

Let f(x) = x - 1/x , then f' (-1) is

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

Let f(x) = 1-x^5 , then f(x).f(1/x) =