Section 2.1: The derivative

1. Examine slopes of tangent lines and rates of change.
2. Define the derivative, and study its basic properties.
3. Compute and interpret derivatives using the definition.
4. Study the relationship between differentiability and continuity.

Annotated slides for Section 2.1.

• Math_1231_slides_2_1_notes.pdf

Please watch the following videos with the prerecorded content for Section 2.1.

1. The notion of derivative
2. Example 1
3. Example 2
4. Interpretation for the sign of the derivative; More on notation
5. Domain of the derivative
6. Differentiability implies continuity