November 6, 2024

Topics

1. Context and motivation.
2. Basic definitions.
3. Derivative.
4. Approximating the graph of a function.
5. The chain rule.
6. Examples: affine functions, polynomials, exponentials, logarithms, rational functions.

Homework

1. Visualizing the derivatives of the sum, product and composition

Lecture Notes

Lecture Notes

Supplementary Content

1. The paradox of the derivative (17:56)
2. Another perspective of the derivative (up to 5:40)
3. Derviative formulas through geometry (18:42)