Week 6 of m171
(§ 3, Mr. Lane)
27 Feb – 3 Mar, 2017

Math Learning Center (in Math 011) has tutors:
10am–4pm on Monday–Thursday and
10am–1pm on Friday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

- Monday [d18] (27 Feb 2017)
WeBWorK:
RQ-3-4a closes at noon,
day-16 closes at 11 pm
- Study section 3.4 (
*Chain Rule*) through Example 2.- Interpret and generalize: p(x) = g(x − 3) implies p'(x) = g'(x − 3)
- Interpret and generalize: p(x) = g(2 x) implies p'(x) = 2 · g'(2 x)
- After studying Example 1, adapt its ideas to handle the task of converting instantaneous velocity in units of miles-per-hour into feet-per-minute units.

- Work on these items at end of §3.4:
odds 1 through 19, 51;
57, 61, 69,
**77**; 97, 99

- Study section 3.4 (
- Tuesday [d19]
WeBWorK:
RQ-3-4b closes at noon,
day-17 closes at 11 pm
- Resume study of section 3.4: review example 2, study to end.
- Example 2 has several parts where the inner function is more complicated than just a constant times the variable.
- Which part of the Chain Rule formula involves the idea that the inner term is approximately a constant times the variable? What is a corresponding interpretation of the other part?
- Adapt Example 5 to to differentiate
exp(−2 x)
= e
^{−2 x}= (e^{−x})^{2}= 1 / e^{2x}in several ways.

- Work on these items at end of §3.4: 21, 25, 26, 28, 30, 41; 59, 63, 65, 76; 96, 100
- Also work on problems 47 and 59 of section 3.3.
- Anticipate a quiz.

- Resume study of section 3.4: review example 2, study to end.
- Wednesday [d20]
WeBWorK:
RQ-3-5 closes at noon,
day-18 closes Thursday at 11 pm
- Review Unit Circle, radian measure, Sine & Cosine,
Amplitude & Period by studying §1.5
(
*Trig Functions*) thru Example 5. - Study section 3.5 (
*The Trigonometric Functions*) to understand how derivatives of Sine and Cosine are related. - Work on these items at end of §3.5:
3, 5, 12, 13, 15, 27, 45;
49, 51, 53,
**59**; 69, 71, 73, 74

- Review Unit Circle, radian measure, Sine & Cosine,
Amplitude & Period by studying §1.5
(
- Friday [d21]
WeBWorK:
RQ-3-6 closes at noon,
day-19 closes Saturday at 11 pm
- Write-up solutions of these three problems —
show your work and interpret your results. Hand-in your written
homework at the
**start**of Friday's class.**section**3.3 3.4 3.5 **problems**60 88 60 - Review ArcSine, ArcCosine, ArcTangent by studying pages 41–42
of §1.5 (
*Trig Functions*). - Also review the relation between base-e exponential and
base-e logarithm [e
^{x}and ln(x)] by studying §1.4 (*Logarithmic Functions*). - Study section 3.6
(
*The Chain Rule and Inverse Functions*).- Several computations produce a formula for a derivative, but (as noted in page 156's footnote) do so with the assumption that derivative actually exists. The text's discussion of the Quotient Rule on page 138 is an early example of this (implicit) procedure.
- Middle of page 158 has a formula generalizing previous work and Example 3 interprets that in geometric terms.

- Work on these items at end of §3.6:
1, 5, 11, 20, 28, 33;
43,
**49**, 51, 55, 60,**62**; 75, 77, 81 - Also work on problem 63 of section 3.5.

- Write-up solutions of these three problems —
show your work and interpret your results. Hand-in your written
homework at the

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© Richard B Lane
Last modified: 24 February 2017, Friday 08:39