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The graph of f(x) is given. State with r...

The graph of f(x) is given. State with reasons the number at which the function is non-differentiable.

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f (x) is non- differentiable at x =- 1 as the function has vertical tangent at this point.
f(x) is non-differentiable at x = 4 as the function is discontinuous at this point.
f(x) is non-differentiable at x = 8 as the function has kink at this point, where L.H.D. and R.H.D. are different.
f(x) is non-differentiable at x = 11 as the function has vertical tangent at this point.
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Knowledge Check

  • Number of points at which f(x) = |x^2+x|+|x-1| is non-differentiable is

    A
    0
    B
    1
    C
    2
    D
    3

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