Differentiability and its Relation to Continuity
Students will define differentiability and understand its relationship with continuity, including cases where a function is continuous but not differentiable.
Key Questions
- Explain why differentiability implies continuity, but continuity does not imply differentiability.
- Analyze the geometric interpretation of a derivative as the slope of a tangent line.
- Construct a function that is continuous but not differentiable at a specific point.
CBSE Learning Outcomes
Suggested Methodologies
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