Home
Class 12
MATHS
Find the values ' a ' for which the func...

Find the values `' a '` for which the function `f(x)=(a+2)x^3-3a x^2+9a x-1` decreases for all real values of `x` .

A

`(-oo, -3)`

B

`(-oo ,0)`

C

`(-3,0)`

D

`(-3,oo)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1E|6 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1F|4 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1C|5 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decreases montonically for all real xdot

Knowledge Check

  • The value of p so that the function f(x) i= sin x - cos x - px + q decreases for all real values of x is given by

    A
    `p ge sqrt(2)`
    B
    `p lt sqrt(2)`
    C
    `p ge 1 `
    D
    `p lt 1 `
  • The interval on which the function f(x) = 2x^(3) + 9x^(2) + 12 x - 1 is decreasing is

    A
    `[-1, infty)`
    B
    `(-infty, - 2]`
    C
    `[-2, - 1]`
    D
    `[-1,1]`
  • Similar Questions

    Explore conceptually related problems

    Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

    Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

    Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

    Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

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

    Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot