Week 5 Calculus I Outline of Notes
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(updated 10/23/06)
1) 2.6, Horizontal Asymptotes (HA) Definition, p. 137
Ex 1, p. 137, inspecting graph
2) 2.6, HA Theorem; finding HA using Thm (divide by highest power of x in denominator)
Ex 3, p.138
3) 2.6, Infinite Limits (when L = infinity)
Ex 10, p. 142
4) 2.7 (2.1) Slope of Secant Line = Average Velocity
2.1, p. 91, #2a
5) 2.7, 2.8 Slope of Tangent Line = Derivative = Instantaneous Velocity Definition & Formula, pp. 150, 151, 158
2.8, Ex 1 & 2, pp. 158-9
2.7 Read last 2 paragraphs p. 155
2.7, Ex 4, p.153
2.8, p. 163, #22
6) 2.9, Replace a by x in formula above to get f ‘ = Derivative of f
Differentiation- other notations, p. 169
Ex 6, p. 169
7) 2.9, Differentiable-Continuous Theorem, p.171 (converse is false)
Figure 8, p. 172