Home
Class 12
MATHS
The function f(x)=2x^3+9x^2+12x+20 is in...

The function `f(x)=2x^3+9x^2+12x+20` is increasing in the interval

A

`(-infty,-1)`

B

`(2,infty)`

C

`(-infty,-2)cup(-1,infty)`

D

`(-2,infty)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f(x)=2x^(3)+9x^(2)+12x+20 is increasing and decreasing.

Find the intervals in which the function f(x)=2x^(3)+9x^(2)+12x+20 is (i) increasing (ii) decreasing

Knowledge Check

  • 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 is strictly increasing in the interval

    A
    (-2, -1)
    B
    (-1, 0)
    C
    (0, 1)
    D
    (1, 2)

  • 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

    find the intervals in which the function y=2x^(3)-9x^(2)+12x+6 is increasing and intervals in which it decreasing

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

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

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

    The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interval

    Home
    Profile