Home
Class 12
MATHS
If f(x) = x^(2) + kx + 1 is increasing ...

If `f(x) = x^(2) + kx + 1` is increasing function in the interval [ 1, 2], then least value of k is –

A

2

B

4

C

-2

D

-4

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MONOTONOCITY

    MOTION|Exercise Exercise - 1 ( Objective Problems ) (SECTION-E) ( PROVING INEQUATION BY MONOTONOCITY )|3 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 1 ( Objective Problems ) ( SECTION-F) ( BASED ON ROLLE’S THEOREM )|5 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 1 ( Objective Problems ) ( SECTION-C ) (CHECKING MONOTONOCITY AT POINT OR IN AN INTERVAL )|4 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=2x^(2)+3x-m log x is monotonic decreasing in the interval (0,1) then the least value of the parameter m is

If the function f(x)=x^(2)-kx+5 is increasing on [2,4], then

Knowledge Check

  • The function f(x) = x^2 is increasing in the interval

    A
    (-1,1)
    B
    `(-infty,infty)`
    C
    `(0,infty)`
    D
    `(-infty,0)`
  • The function f(x)=2x^(3)-15x^(2)+36x+1 is increasing in the interval

    A
    `x le 2" or "x ge 3`
    B
    `x lt 2" or "x gt3`
    C
    `x ge 2" or "x le 3`
    D
    `x gt 2" or "x lt 3`
  • The function f(x)=x^(2)+2x-5 is increasing in the interval

    A
    `(2,oo)`
    B
    `(-oo,-2)`
    C
    `(-1,oo)`
    D
    `(-oo,-1)`
  • Similar Questions

    Explore conceptually related problems

    If yR' is the least value of 'a' such that the function f(x) = x^(2) + ax +1 is increasing on [1, 2] and 'S' is the greatest value of ' a' such that the function f(x) = x^(2) + ax +1 is decreasing on [1, 2], then the value of |R — S| is_____________

    The function log (1+x) - (2x)/(x+2) is increasing in the interval:

    The function f(x)=x^2-2x is strictly increasing in the interval

    Function f(x)=x+ cot ^(-1) x increasing in the interval

    The function f(x)=x^(1//x) is increasing in the interval