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
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1E|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1F|5 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1C|5 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

The interval in which the function f(x)=sin x-cos x -ax +b decreases for all real values of x is given by

The values of a for which the function (a+2)x^(3)-3x^(2)+9ax-1 decreases monotonically throughout for all real x are :

The values of a for which the function (a+2)x^(3)-3x^(2)+9ax-1 decreases monotonically throughout for all real x are :

The function f(x)=(K tan x+2)/(tan x+1) is decreasing for all values of x then K =