NCERT Solutions for Class 12 Maths Chapter 5 Exercise 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 using NCERT Books for their exams based on CBSE Curriculum 2018-2019.

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

### Class 12 Maths Chapter 5 Exercise 5.8 Solutions in English

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. Click here to get the solutions of other exercises of Class 12 Mathematics Chapter 5, If you need Solutions in Hindi, CLICK HERE for Hindi Medium Solutions.

### Class 12 Maths Chapter 5 Exercise 5.8 के हल हिंदी में

इस प्रशनावली 5.8 में माध्यमान प्रमेय तथा रोले का प्रमेय मुख्य हैं। रोले के प्रमेय तथा माध्यमान प्रमेय की परिकल्पना को संतुष्ट करना तथा परिकल्पना के अनुसार c का मान निकलना आदि प्रश्न प्रशनावली 5.8 में निहित हैं। Click here to get the solutions of other exercises of Class 12 Mathematics Chapter 5, Go back to English Medium Solutions.

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#### 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)

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:

- Function is continuous in closed interval [a, b].
- Function is differentiable in open interval (a, b).

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).