- Thursday: derivative definitions, techniques, and relationships with graphs (don't forget limits, symmetry, domains and ranges, etc., but the emphasis will be on the derivative: applications, linearizations, extrema and concavity, etc.).
- Friday: two story problems (of three -- you will choose two).
- Definition:
- All antiderivatives are the same up to a constant:
- Notation:
- The integral is an operator that also is linear:
- Examples:
- #3, p. 242
- #29, p. 243
- Differential equations: an equation establishing a
relationship between a function, the independent variable(s),
and the function's derivative(s).
"Find a function whose derivatives satisfy the following relationship."
- #48, p. 243
- #63, p. 244