Home
Class 12
MATHS
The Rolle's theorem is applicable in the...

The Rolle's theorem is applicable in the interval `-1le x le1` for the function

A

f(x)=x

B

f(x)=`x^2`

C

f(x)=`2x^3+3`

D

f(x)=`|x|`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Rolle's theorem is not applicable to the function f(x)=|x|"for"-2 le x le2 because

If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((2sqrt(3)+1)/(sqrt(3)))=0 , then

Rolle's theorem is true for the function f(x)=x^2-4 in the interval

The value of c in Lagrange's mean value theorem for the function f(x)=log_ex in the interval [1,3] is

Check whether the condition of Rolle's theorem are satisfied by the following functions or not: f(x) = (x-1)(x-2)(x-3) , x in (1,3)

Check whether conditions of Rolle's theorem are satisfied by the following functions: f(x) = x^2 - 2x + 3, x in (1,4)

Check the validity of the Rolle's theorem for the following functions: f(x) = x^2 if 0 le x le 2, = 6-x, if 2 le x le 6

Discuss the applicability of Rolle's theorem for the following functions: f(x) = (x-1)(2x-3) , x in (1,4)