Class 12 Math Chapter 5 Continuity and Differentiability Notes (Handwritten & Short Notes )

Some students find Math a very hard subject so here on BoardStudy, we have shared class 12 Math Chapter 5 Continuity and Differentiability notes. We have covered every topic in a simple and easy way so anyone can understand the chapter and perform well in exam.

Notes are very clean and colourful written by BoardStudy subject matter experts. Every important concept, formula, diagram and derivation is shared in Continuity and Differentiability notes that will help you solve the problem. These notes are designed to make complex topics easier which will definitely boost the students’ confidence during the exam.

Continuity and Differentiability Handwritten Notes PDF

Chapter 4: Determinants
Chapter 6: Application of Derivatives

Other Subjects:
Class 12 Physics Notes PDF
Class 12 Chemistry Notes PDF

Key Points

Continuity at a point

A function f(x) is said to be continuous at a point x=a, if left hand limit of f(x) at (x=a) = value of f(x) at (x=a) = Right hand limit of f(x) at (x=a)

Following functions are always continuous for x ∈ R

1. |x-a|
2. logx for x \ge R⁺
3. Polynomial function, linear, quadratic & cubic function. i.e identity, constant, polynomial, rational & trigonometric functions are continuous in their domain. ⁹⁹⁹⁹
4. sin x, cos x
5. e^x

Features of Notes

• Continuity and Differentiability Notes are crafted by BoardStudy expert. All concepts and diagrams are included in notes.
• Our revision notes make a complex topic very simple. By using our notes, students can quickly revise Continuity and Differentiability chapter.
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Summary