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The function f(x)=sqrt((a x^3+b x^2+c x+...

The function `f(x)=sqrt((a x^3+b x^2+c x+a))` ha sits non-zero local minimum and local maximum values at `x-2 and x = 2`, respectively. It 'a is a root of `x^2-x-6=0`

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The function f(x)=sqrt((ax^(3)+bx^(2)+cx+a)) ha sits non-zero local minimum and local maximum values at x-2 and x=2 , respectively.It a is a root of x^(2)-x-6=0

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Knowledge Check

  • The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

    A
    `-2`
    B
    `(-2)/3`
    C
    2
    D
    `2/3`

  • The function f(x) = (2)/x + x/2 has a local minimum at x =

    A
    `-2`
    B
    0
    C
    1
    D
    2

  • If f(x)=x+(1)/(x),xne0 , then local maximum and minimum values of function f are respectively . . .

    A
    `-1 and 1`
    B
    `-2 and 2`
    C
    `2 and -2`
    D
    `1 and -1`

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