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Let f: (-1,1)toR be a function defind by...

Let `f: (-1,1)toR` be a function defind by f(x) =max. `{-absx,-sqrt(1-x^2)}`. If K is the set of all points at which f is not differentiable, then K has set of all points at which f is not differentible, then K has exactly

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Knowledge Check

  • Let f:(-1,1)toR be a function defined by max {-|x|,-sqrt(1-x^(2))} . If k be the set of all points at which f is not differentiable then k has exactly

    A
    three elements
    B
    one element
    C
    five elements
    D
    two elements

  • Let f: R to R be a function defined by f (x) = max { x, x^3 } . The set of all points where f (x) in not differentiable is:

    A
    `{-1,1}`
    B
    `{-1,0}`
    C
    {0,1}
    D
    `{-1,0,1}`

  • Let f:[-1,1] to R be a function defined by f(x)={x^(2)|cos((pi)/(x))| "for" x ne 0, "for "x=0 , The set of points where f is not differentiable is

    A
    `{x in [-1,1], x ne 0}`
    B
    `[x in 0-1,1]: x=0 " or " x=(2)/(2n+1), n in Z}`
    C
    `{ x in [-1,1]: x=(2)/(2n+1),n in Z}`
    D
    `[-1,1]`

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    If f:R rarr R is defined by f(x)=max{x,x^(3)} .The set of all points where f(x) is not differentiable is

    Let f : R to R be a function defined by f(x) = max. {x, x^(3)} . The set of all points where f(x) is NOT differenctiable is (a) {-1, 1} (b) {-1, 0} (c ) {0, 1} (d) {-1, 0, 1}

    The set of points, where f(x)x/(1+|x|) ,is differentiable, is

    The set of points where f(x)=(x)/(1+|x|) is differentiable is

    The set of all points where the function f(x)=2x|x| is differentiable is

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