# NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.8

NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.8 (Class 12 Ex. 5.8) Continuity and Derivative based on Rolle’s theorem and Mean Value Theorem to download in Hindi Medium and also in English Medium for all students updated for new academic session 2021-2022. Uttar Pradesh Board, Prayagraj also implemented NCERT Books for their scholars for academic session 2021-2022. So, the intermediate students of UP Board also take the benefits of these solutions given in Hindi and English Medium. Download UP Board Solutions for Class 12 Maths Chapter 5 Exercise 5.8 in PDF format free. These updated NCERT Solutions and Online or Offline apps are applicable for those students who are using NCERT Books for their exams based on CBSE Curriculum 2021-2022.

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## NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.8

• ### Class 12 Maths Exercise 5.8 Solutions in Hindi and English

 Class: 12 Maths (English and Hindi Medium) Chapter 5: Exercise 5.8

### 12th Maths Exercise 5.8 Solutions

NCERT Solutions for Class 12 Maths Chapter 5 Exercise 5.8 based on Justification and Verification of Rolle’s theorem and Mean value theorem LMV. All the questions of ex. 5.8 of 12th Maths are solved with complete explanation using easy steps. Join the discussion forum to ask your doubts in NIOS and CBSE Board. Download the latest NCERT Books 2021-22 for new session following the new CBSE Syllabus.

#### Class 12 Maths Chapter 5 Exercise 5.8 Solution in Videos

Class 12 Maths Exercise 5.8 Question 1 Solution
Class 12 Maths Exercise 5.8 Question 2 Solution

Class 12 Maths Exercise 5.8 Question 3 Solution
Class 12 Maths Exercise 5.8 Question 4 Solution
Class 12 Maths Exercise 5.8 Question 5 Solution
Class 12 Maths Exercise 5.8 Question 6 Solution

#### Class 12 Maths Chapter 5 Exercise 5.8 Solution in Hindi

Class 12 Maths Exercise 5.8 Question 1, 2 in Hindi
Class 12 Maths Exercise 5.8 Question 3, 4 in Hindi

Class 12 Maths Exercise 5.8 Question 5 in Hindi
Class 12 Maths Exercise 5.8 Question 6 in Hindi

#### About 12 Maths Exercise 5.8

In Exercise 5.8, we have to check whether the following conditions of Rolle’s Theorem is satisfied or not.

• Function is continuous in closed interval [a, b].
• Function is differentiable in open interval (a, b).
• For the function f(a) = f(b)
##### Rolle’s theorem

If all the three conditions of Rolle’s theorem is satisfied, then according to theorem there should be a value c of x in open interval (a, b) such that f'(c) = 0. Putting f'(c) = o, we can get the required value of c and verify the Rolle’s theorem for the given function. In Mean Value Theorem we have to check only two following conditions:

1. Function is continuous in closed interval [a, b].
2. Function is differentiable in open interval (a, b).
3. If both are true, then we can find a value c according to Mean Value Theorem (LMV), such that f'(c) = [f(b) – f(a)]/(b – a).

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##### On which theorem the exercise 5.8 of class 12th Maths is based?

Exercise 5.8 of class 12th Maths is based on the following two theorems:

1. Rolle’s Theorem: Let f: [a, b] → R be continuous on [a, b] and differentiable on (a, b), such that f(a) = f(b), where a and b are some real numbers. Then there exists some c in (a, b) such that f′(c) = 0.
2. Mean Value Theorem: Let f: [a, b] → R be a continuous function on [a, b] and differentiable on (a, b). Then there exists some c in (a, b) such that f’(c) = (f(b)-f(a))/(b-a).
The Mean Value Theorem (MVT) is an extension of Rolle’s theorem.
##### How can students score full marks in exercise 5.8 grade 12th Maths Book?

Exercise 5.8 of class 12th Maths contains two examples (examples 42, 43) and 6 questions. All questions and examples of this exercise are most important from an exam point of view. So, to score full marks in exercise 5.8 of grade 12th Maths, students should honestly practice all questions and examples of this exercise.

##### Are the questions of exercise 5.8 class 12th NCERT Maths Book challenging?

Yes, exercise 5.8 of class 12th Maths is a little challenging. Most of the students face issues while solving questions of this exercise. This exercise is interesting and logical. This exercise requires complete concentration. Also, this exercise helps in increasing the thinking capability of students.

##### Is exercise 5.8 of grade 12th Maths short or lengthy?

Exercise 5.8 of grade 12th Maths is very short. Only two examples (examples 42, 43) and 6 questions are there in exercise 5.8. Students need at most two days to do this exercise. This time depends on many things like child’s working speed, efficiency etc.      