Continuity and Differentiability

  

 We had learned in class 11 to differentiate certain functions like polynomial functions and trigonometric functions. In this chapter, we introduce the very important concepts of continuity, differentiability, and relations between them. We will also learn the differentiation of inverse trigonometric functions. Further, we introduce a new class of functions called exponential and logarithmic functions. These functions lead to powerful techniques of differentiation.

1. Introduction of continuity with exercise 5.1 Questions Part 1  
   
   Video Lecture   
   
   
2. Introduction of Differentiability with examples
   
   Video Lecture
    
3. NCERT Exercise 5.2
   
   Part 1 (Q1 to Q6)
   
   Part 2 (Q7 to Q10)
   
   
4. NCERT Exercise 5.3
   
   Part 1 (Q1 to Q8)
   
   Part 2 (Q9 to Q15)
   
   
5. Differentiation of Exponential and Log Functions
   
   Video Lecture
   
   
6. NCERT Exercise 5.4
   
   Complete Exercise 5.4
   
   
7. Tricky Differentiation Questions
   
   
8. Logarithmic Differentiation or Differentiation of Function to the power Function
   
   Video Lecture
   
   
9. Differentiation of Functions in Parametric Form with NCERT Exercise 5.6 (Q1 to Q6)
   
   Video Lecture
   
   Ncert Exercise 5.6 Q6 to Q11
   
   
10. Higher-Order Derivatives with NCERT Exercise 5.7 (Q1 to Q11)
    
    Video Lecture
    
    NCERT Exercise 5.7 (Q12 to Q17)
    
    
11. Rolle's and Lagrange's Mean Value Theorem
    
    Video Lecture
    
    
    
12. Complete Continuity and Differentiability in One-Shot Video with Important Questions
    
    One-Shot Video