Home
Class 12
MATHS
Verify Rolle's theorem for the function ...

Verify Rolle's theorem for the function `f(x)= x^(2)+2x-8, x in [-4, 2]`.

Answer

Step by step text solution for Verify Rolle's theorem for the function f(x)= x^(2)+2x-8, x in [-4, 2]. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|23 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TAMIL|Exercise EXERCISE 5.7|17 Videos

  • COMPLEX NUMBERS

    NCERT TAMIL|Exercise EXERCISE 2.9|25 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

Similar Questions

Explore conceptually related problems

Verify Rolle's theorem for the funnction f(x) = 4x^(3) - 9x " in " -(3)/(2) le x le (3)/(2)

Compute the value of 'c' satisfied by the Rolle's theorem for the function f(x)=x^(2)(1-x)^(2) , x in [0,1] .

Knowledge Check

  • The number given by the Rolle's theorem for the function x^(3)-3x^(2) , x in [0,3] is

    A
    `1`
    B
    `sqrt(2)`
    C
    `(3)/(2)`
    D
    `2`

  • The range of the function f(x) = x^2 +2x +2 is

    A
    `(1,oo)`
    B
    `(2,oo)`
    C
    `[1,oo)`
    D
    `(-oo ,oo)`

    • Similar Questions

    Explore conceptually related problems

    Compute the value of 'c' satisfied by the Rolle's theorem for the function . f(x) =x^(2)(1-x)^(2), x in [0,1] .

    Verify Rolle's theorem for the function y= x^(2)+2, a= -2" and "b=2 .

    Find the values in the interval ((1)/(2),2) satisfied by the Rolle's theorem for the function f(x)=x+(1)/(x) , x in [(1)/(2),2]

    Verify Rolle's theorem for the following f(x) = |x| -1 le x le 1

    Find the value of c in the interval ((1)/(2),2) satisfied by the Roll's theorem for the function. f(x)=x+(1)/(x), x in [(1)/(2),2]

    Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) _ 2x in [1, 3]

    Home
    Profile