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Let f(x)=|x|+|sinx|, x in (-pi/ 2,3pi/2)...

Let `f(x)=|x|+|sinx|, x in (-pi/ 2,3pi/2).` Then , `f` is

A

conti. no where

B

conti. every where

C

differentiable no where

D

Differentiable every where except at x = 0

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Knowledge Check

  • Let f(x)=|x|+|sin x|, x in (-pi//2,pi//2). Then, f is

    A
    nowhere continuous
    B
    continuous and differentiable everywhere
    C
    nowhere differentiable
    D
    differentiable everywhere except at x=0

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    lie above the curve
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    lie below the curve
    C
    nothing can be said
    D
    be parallel to a fixed line.

  • Let f(x)=2sinx+tax-3x Statement-1: f(x) does not attain extreme in (-pi//2,pi//2) Statement-2 : f(x) is strictly increasing on (-pi//2,pi//2)

    A
    Statement-1 is True, Statement-2 is True,Statement -2 is a correct explanation for Statement -4
    B
    Statement -1 True ,Statement -2 is True ,Stament -2 is not a correct explanation for Statement -!
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    D
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