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The number of points where f(x) = max {|...

The number of points where f(x) = max {|sin x| , | cos x|} , ` x in ( -2 pi , 2 pi )` is not differentiable is ______

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Knowledge Check

  • The number of critical points of f(x)=max{sinx,cosx},AAx in(-2pi,2pi), is

    A
    5
    B
    6
    C
    7
    D
    8
  • The total number of points of non-differentiability of f(x) = min[|sin x|,|cos x|, (1)/(4)]"in"(0, 2pi) is

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    8
    B
    9
    C
    10
    D
    11
  • The number of points where f(x) =[sin x + cos x] (where [.] denotes the greatest integer.function] x in (0,2pi) is discontinuous is:

    A
    3
    B
    4
    C
    5
    D
    6
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