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The value of x for which 2x^(3)-9x^(2)+1...

The value of x for which `2x^(3)-9x^(2)+12x+2` is decreasing in

A

`1 lt x lt 2`

B

`x lt 1 or x gt 2`

C

`x lt -1 or x gt -2`

D

`-1 lt x lt -2`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • The interval on which function f(x) = 2x^(3)+9x^(2)+12x-1 is decreasing is

    A
    `[-1, oo)`
    B
    [-2, -1]
    C
    `(-oo, -2]`
    D
    [-1, 1]

  • Observe the following statements: A : f(x) = 2x^(3)-9x^(2)+12x-3 is increasing outside (1,2) R : f^(')(x) lt 0 for x in (1,2) Then which of the following is true?

    A
    Both A and R true and R is not the correct reason for A
    B
    Both A and R are true and R is the correct reasong for A
    C
    A is true but B is false
    D
    A is false but R is true

  • If f(x) = kx^(3) - 9x^(2) +9x + 3 is increasing on R then

    A
    `k lt 3`
    B
    `k gt 3`
    C
    `k le 3`
    D
    none of these

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