Home
Class 12
MATHS
The interval in which the function x^(3)...

The interval in which the function `x^(3)` increases less rapidly than `6x^(2) + 15x + 5` is

A

`(-oo,-1)`

B

`(-5,1)`

C

`(-1,5)`

D

`(5,oo)`

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 -B ) (FINDING VALUE OF VARIABLE GIVEN MONOTONIC BEHAVIOUR )|2 Videos

  • MONOTONOCITY

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

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 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

The interval in which the function y=x^(3) increases more rapid than the function y=6x^(2)+15x+5

The interval in which the function y=x^(3) increases more rapid ,than the function y=6x^(2)+15x+5 (A) (-oo,-1) (B) (5,oo) (C) (-1,5) (D) (0,oo)

Knowledge Check

  • The interval in which the function f(x)=x^(e^(2-x)) increases is

    A
    `(-oo,0)`
    B
    `(2,oo)`
    C
    `(0,2)`
    D
    none of these

  • The interval in which the function 2x^3 + 15 increases less rapidly than the function 9x^2 - 12x, is –

    A
    `(-oo ,1)`
    B
    `(1,2)`
    C
    `(2, oo)`
    D
    none of these

  • The interval on which the function f(x)=2x^(2)-3x is increasing or decreasing in :

    A
    `[-oo,(3)/(4)]`
    B
    `[3,oo]`
    C
    `[(3)/(4),3]`
    D
    `[(3)/(4),oo]`

    • Similar Questions

    Explore conceptually related problems

    The interval of x for which the function y=-x(x-2)^(2) increases is

    The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increasing, is :

    The interval in which the function f(x)=x^(2)-3x+36 is strictly increasing, is :

    Find the intervals in which the function f(x)=x^(3)-12x^(2)+36x+117 is increasing

    The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

    Home
    Profile