This is the first lecture in a series on Differentiation on R. We review the limit concept, define the differentiability at a point and state an equivalent characterization. We show how this approach helps us to understand or do the problems of differentiability using the facts on continuity.
This was recorded with a live audience. I thank the audience for their support.
0:00 Disclaimer
0:51 Recall prerequisite concepts
4:15 Understanding the definition of derivative
15:30 Examples of differentiable functions
35:00 Characterisation of Differentiability
47:00 Examples
50:30 Differentiability implies continuity
53:10 Sum of differentiable functions
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