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Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)...

Let `f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2))`,then `26 f'(1)` is

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Knowledge Check

  • Let f(x)= sqrt(1+x^(2)) then,

    A
    `f(xy)= f(x). F(y)`
    B
    `f(xy) ge f(x).f (y)`
    C
    `f(xy) le f(x).f(y)`
    D
    None of these

  • f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

    A
    Increasing in `(0,oo)` and decreasing `(-oo,0)`
    B
    Decreasing in `(0,oo)` and increasing in `(-oo, 0)`
    C
    Increasing in `(-oo, oo)`
    D
    Decreasing `(-oo, oo)`

  • If 2f (x)- 3f((1)/(x))= x^(2) (x ne 0) then f(2)= ……

    A
    `-(7)/(4)`
    B
    `(5)/(2)`
    C
    `-1`
    D
    None of these

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    f(x)=sqrt((log(x-1))/(x^(2)-2x-8)) . Find the domain of f(x).

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