- Directed reading handout, Section 3.9 (html) (pdf)
- Directed reading handout, Section 4.1 (html) (pdf)
- First of all, notice that in this section we suddenly see graphs
failing the
vertical line test. These are not the typical "functions of a
single variable" we usually encounter, but rather include
"branches" which individually can be treated as such.
- Implicit differentiation movie (two thumbs up!)
- Favorite example: the circle
- We can still compute slopes of tangent lines, however, as we've
been led to expect.
- Other Examples:
- Power rule for rational powers
- #41, 160
- Questions over the Directed reading handout, Section 3.8 (html) (pdf)?
- Story Problems! Hooray!
- "Ladders and trains" strategy....
- Draw a picture
- Assign variables and restate the problem
- Find an equation that relates the variables and differentiate
- Use the given data to find the unknown derivative
- Use units to help guide you to the correct answer!
- Examples:
- #3, p. 166
- #7, p. 167
- #37, p. 168
- Questions over the Directed reading handout, Section 3.9 (html) (pdf)?