# NCERT Solutions Class 12 Maths Chapter 5 Exercise 5.8 Continuity and Differentiability

NCERT solutions for class 12 maths Chapter 5 Exercise 5.8 is entirely based on stating two fundamental results in Calculus without proof. The sums provided in this exercise are solely focused on helping kids learn the geometrical interpretation of Rolle's Theorem and the Mean Value Theorem. Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b. According to the Mean Value Theorem if f : [a, b] → R is continuous 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. Rolle’s theorem is a special case of the mean-value theorem in differential calculus. NCERT solutions class 12 maths Chapter 5 Exercise 5.8 has 6 questions based on these theorems and their applications.

Thoroughly solving these sums is sufficient to build the right approach for understanding both theorems and their graphical representation. The resources are well-drafted to aid the concise learning of these tricky theorems. The link is given below can be used to access the scrollable PDF version of Class 12 Maths NCERT Solutions Chapter 5 Exercise 5.8 Continuity and Differentiability.

**ā** Download NCERT Solutions Class 12 Maths Chapter 5 Exercise 5.8

**Exercise 5.8 Class 12 Chapter 5**

### More Exercises in Class 12 Maths Chapter 5

- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.1
- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.2
- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.3
- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.4
- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.5
- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.6
- NCERT Solutions Class 12 Maths Chapter 5 Ex 5.7
- NCERT Solutions Class 12 Maths Chapter 5 Miscellaneous Exercise

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

By practicing all the sums provided in NCERT Solutions for Class 12 Maths Chapter 5, students can attain clear knowledge about the ideas and theorems related to derivatives. Kids can easily expand their knowledge and bridge any conceptual gap with the help of these solutions.

While attempting the questions in the NCERT solutions class 12 maths chapter 5 exercise 5.8 always try to solve the sums by yourself first. It will also be beneficial in learning about improvements required and addressing any pain points. The core knowledge of all topics of continuity and differentiability will also be helpful in performing well during the final examinations.

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