# CBSE Class 12-science Maths Mean Value Theorems

Explore CBSE Class 12 Science Mathematics Continuity and Differentiability – Mean Value Theorems with TopperLearning. Revise Rolle’s Theorem and understand its geometrical interpretation through the video explanation by an experienced Maths expert. Practise most important questions and multiple choice questions related to the Mean Value Theorems by using our Sample Q&A.

To understand and verify the application of Rolle’s theorem for a given function, you need to practise Maths problems. For practising different types of problems, CBSE Class 12 Science Maths textbook solutions are one of the best resources. You can find textbook solutions, sample paper solutions and more on our learning portal 24/7.

## Videos

- Discuss the applicability of Rolle’s theorem for the following function on the indicated interval: f(x) = |x| on [–1, 1]
- Discuss the applicability of Rolle’s theorem for the following function on the indicated interval : f (x) = 3 + (x – 2)
^{2/3}on [1, 3] - Discuss the applicability of Rolle’s theorem for the following function on the indicated interval: f (x) = tan x on [0, p]
- Discuss the applicability of Rolle’s theorem on the function f (x) =
- Verify Rolle’s theorem for the function f (x) = x
^{2}– 5x + 6 on the interval [2, 3]. - Verify Rolle’s theorem for the function f (x) = (x – a)
^{m}(x – b)^{n}on the interval [a, b], where m, n are positive integers. - Verify Rolle’s theorem for the function f (x) = on [– 2, 2].
- Verify Rolle's theorem for the function f (x) = on [a, b], where 0 < a < b.
- Verify Rolle’s theorem for each of the following functions on indicated intervals : f(x) = sin x + cos x – on
- Verify Rolle's theorem for each of the following functions on indicated intervals : f (x) = sin x â€“ sin 2 x on [0, p]

## Take Test

Topic Completion

(60%)### Kindly Sign up for a personalised experience

- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions

#### Sign Up

#### Verify mobile number

Enter the OTP sent to your number

Change