Math 006 - Handout for Week 4

Outline

(1) Review tangents for quiz

(2) Quiz

(3) Main ideas:

• Finding a tangent with a given slope
• Examples of rate of change
• Ways of getting functions and their derivatives

(4) Break

(5) Worked examples and tutorial

• Ex 2.2 Page 83, B.Ex 2.f,h. Ex 7, 8
• Ex 2.3 Page 88, B.Ex 3.c, Ex 7, 8
• Ex 2.4 Page 92, B.Ex 3.e, 4
• Ex 2.5 Page 95, B.Ex 1, 6
• Ex 2.6 Page 102, B.Ex 1.a,c,i, Ex 3, Ex 7.

(Note the above are correct homework exercises to try for this week; in class previous week's exercises were given by mistake.) Assignment Due date: Wednesday 18 February.
1. Find the derivatives of the following functions:

• f(x) = (x² + 1) (x² - 1)
• f(x) = (x³ + 3)^1/2
• f(x) = (x² + 5x +1)/(x²+1)
• f(x) = (x² + 2)²(x-1)

Sample Quiz
Next week there will be a short quiz with a question similar to the following:
Find a value of x where the tangent to y=x²+3x+1 has slope 5

Office hour and Tutorial times
Office Hours for Lecturer: (room Jeff 401) Tuesday, Wednesday, Thursday : 2:30-3:30

Office Hours for TA: (room Jeff 222) Monday, Wednesday 2:30-3:30

Tutorial Time (room Jeff 116):
Tuesday 2:30-3:30 Note, Overheads can be found on reserve in Douglas library, and outline of course, and marks, on line at

http://www.mast.queensu.ca/~helena/math006/