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Find x where f(x) = max {sqrt(x(2-x)),2-...

Find `x` where `f(x) = max {sqrt(x(2-x)),2-x}` is non-differentiable.

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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

  • Let f(x) = |x|-1|, then points where f(x), is not differentiable is/are :

    A
    0, +-1
    B
    -1
    C
    o
    D
    1

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    Statement 1: f(x)=|x-1|+|x-2|+|x-3| has point of minima at x=3. Statement 2: f(x) is non-differentiable at x=3.

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