Reading for this week:

3.6-3.7 (for this week), 3.8, 4.1 (for next week).

Problems:

A. Warm-ups
Differentiate:
f(x)=[sin(1/x)]^2
f(x)=x^x

B. Problems that will prove useful in Calculus II:
Differentiate the followings, and SIMPLIFY (10,6,8 are optional):
(9,10,1,2,7 are important)
1. f(x)=-ln(cos x)
2. ln(sec x +tan x)
3. e^(x^2)
4. u/2 - sin(2u)/4
5. f(x)=ln(ln x)
6. f(x)=[(ln x)^2]/2
7. xln(x)-x
8. x sin(x) + cos(x)
9. f(t)=arctan t. f'(t)=?
10. f(x)=arcsin x.

C. Perhaps Harder (Geometric) Problems
P.244
41. Orthoganality, concentric circles and rays.
45. (The radius of a circle is perpendicular to its tangent.)
54. (How high the lamp is.)