Home
Class 12
MATHS
Which condition of Rolle's theorem is vi...

Which condition of Rolle's theorem is violated by the functionf(x) =| x | in [-1,1]

Text Solution

Verified by Experts

f(x) = | x |is not differentiable at `x=0 in [-1,2]therefore`f is differentiable on (-1,1) is violated.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Which condition of Rolle's theorem is violated by the functionf(x) = sin x in [0,(3pi)/\4]

Write that condition of Rolle’s theorem which is violated by the function f(x)=|x-1| in [0,2] .

Examine if Rolle's theorem is applicable to the following functions : f(x) = |x| on [-1,1]

Verify Rolle's theorem for the function f(x)=sin 2x in [0,(pi)/(2)]

Examine if Rolle's theorem is applicable to the following functions : f(x) = [x] on [-1,1]

Write in one sentence why you cannot apply Rolle's theorem to the function f(x)=|x| in the interval [-1,1]

Verify the Rolle's theorem for the function f(x)=log(x^(2)+2)-log3 in [-1,1]