Home
Class 12
MATHS
In which of the following functions, Rol...

In which of the following functions, Rolle's theorem is applicable?

A

`f(x) =|x|in -1 le x le 1`

B

`f(x) = tanx` in `0 le x le pi`

C

`f(x) = 1-(x-2)^(2//3)` in `1 le x le `

D

`f(x) = x(x-2)^(2)` in `0 le x le 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS) |26 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise SELF ASSESSMENT TEST (TRUE AND FALSE TYPE QUESTIONS) |1 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (4)|20 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

In which of the following function Rolle's theorem is applicable ?

In which of the following functions is Rolles theorem applicable? (a)f(x)={x ,0lt=x<1 0,x=1on[0,1] (b)f(x)={(sinx)/x ,-pilt=x<0 0,x=0on[-pi,0) (c)f(x)=(x^2-x-6)/(x-1)on[-2,3] (d)f(x)={(x^3-2x^2-5x+6)/(x-1)ifx!=1,-6ifx=1on[-2,3]

For which of the following functions is Rolle,s Theorem not applicable ?

For which of the following functions is Rolle s Theorem not applicable ?

Consider f(x)=|1-x| 1 lt=xlt=2 a n d g(x)=f(x)+bsinpi/2 x , 1 lt=xlt=2 Then which of the following is correct? Rolles theorem is applicable to both f, g a n d b = 3//2 LMVT is not applicable of f and Rolles theorem if applicable to g with b=1/2 LMVT is applicable to f and Rolles theorem is applicable to g with b = 1 Rolles theorem is not applicable to both f,g for any real b .

Consider a function f(x) = ln (x^2 + alpha)/7x . If for the given function, Rolle's theorem is applicable in [3,4] at a point C then find f'' (C)

For the function f(x) = e^(cos x) , Rolle's theorem is applicable when

Rolle’s theorem can not applicable for :

For the function f(x)=e^(cos x), Rolle's theorem is