- Tomorrow, techniques.
- Friday: putting it all together (more story problemish....)
- Directed reading handout: Section 7.8 (html)
(pdf)
- I'd planned on assigning: pp. 397-399, #1, 2, 6, 10, 17, 18, 21,
50, 57, 83, 84; if you want to do an additional homework
replacement, you can do that! Turn it in Friday with the
final.
- My interest is primarily in inverting the functions sine, cosine,
and tangent. Let's start by taking a look at each of these
graphically, e.g. sine:
-
-
- provides a good way of getting from one horizontal asymptote to another
-
- Derivatives are obtained using the formula for inverse function
derivatives:
from which we derive:
Geometry gives us another way to derive it:
How would we cook up the geometry to derive the derivative of arctan?
- Examples:
- #83, p. 399 -- a Friday kind of problem...