Differential Calculus and Its Applications · Calculus
Continuity and Differentiability
Analyzing the smoothness of functions and the relationship between local linearity and the derivative.
Key Questions
- 1Can a function be continuous at a point but not differentiable, and what does this look like graphically?
- 2How does the Mean Value Theorem bridge the gap between local rates of change and global averages?
- 3Why is the Chain Rule considered the most powerful tool for differentiating composite physical systems?
CBSE Learning Outcomes
CBSE: Continuity and Differentiability - Class 12
Class: Class 12
Subject: Mathematics
Unit: Differential Calculus and Its Applications
Period: Calculus
Suggested Methodologies
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