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For what values of a , the function f(x)...

For what values of `a ,` the function `f(x)={((sqrt(a+4))/(1-a))x^5-3x+"log"(5)` decreases for all real `xdot`

A

`(-oo,oo)`

B

`[-4, (-3sqrt(21))/(2)]uu(1,oo)`

C

`[-3, (5-sqrt(27))/(2)]uu(2,oo)`

D

`(1,oo)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The value of a for which the function f (x) = sin x-Cos x-ax+b decreases for all real values of x is given by

    A
    ` a ge sqrt(2)`
    B
    ` a ge 1`
    C
    ` a lt sqrt(2)`
    D
    ` a lt 1`

  • For what value of a, does the function f (x) = x ^(5) - 5x + a has three real roots ?

    A
    `a gt 4`
    B
    `a lt 4`
    C
    `-4 lt a lt 4`
    D
    `-4 le a le 4`

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