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If 8f(x)+6f((1)/(x))=x+5 and y = x^(2)...

If `8f(x)+6f((1)/(x))=x+5` and `y = x^(2)f(x)` , then the value of `[(dy)/(dx)]_(x=-1)=(-k)/(28)` find K_

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Knowledge Check

  • If f(x)= (Kx)/(1 + x), x ne -1 and f{f(x)} = x, then the value of k

    A
    a) `-sqrt2`
    B
    b) -1
    C
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    D
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  • If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)]_(x=0) is-

    A
    0
    B
    5
    C
    10
    D
    25

  • Let 5f(x)+3f((1)/(x))=x + 2 and y = x f (x) . Then , (dy)/(dx) is equal to -

    A
    `(7)/(9)`
    B
    `(8)/(7)`
    C
    `(7)/(8)`
    D
    14

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