Complete the following questions before our class tomorrow.
Pages 35–36 1adg, 2ace, 3ae
Page 37 1adg, 2, 3
If you want to get a head start on tomorrow’s material, you can also look at the questions below.
Pages 39–40 1, 2, 3abf, 4aef
12 SL The Derivative
In today’s class we saw that, given the function \(f(x)=x^2\), we could use a limit to show that the slope of the tangent at any point on that function could be calculated using \(2x\). This new function is called the derivative of \(f\), and \(f'(x)\) is typically used to represent that new function.
So, if \(f(x)=x^2\), we have shown that \(f'(x)=2x\).
Read Section E on pages 355–357, paying particular attention to the examples (which essentially follow the method we used in class).
Complete questions 1, 2, 5cd and 6 on page 357.
11 HL Challenge
Have a look at the questions in the PDF file here, and try to complete both questions before our next class. (Note that this is an optional homework assignment, so while I would encourage you all to try the questions, you need not complete them both.)
In addition to the mathematical content, your emphasis should also be on clarity of communication.
11 SL The Quadratic Formula and the Discriminant
Complete the following questions before our next class.
Page 24 questions 1abc, 2abde
Page 26 questions 1, 2abc, 3ab, 4abcf
11 HL Polynomial Theorems
The questions below involve applications of the Fundamental Theorem of Algebra, and/or the other theorems we’ve now covered. Have these completed for our next class.
Page 193 question 3
Page 195 questions 3, 4
Page 196 questions 2, 4
Page 198 questions 1, 2, 5
Page 200 questions 2, 3, 6
11 HL Complex Numbers
Complete the following questions for our next class.
page 177 questions 3–5,
page 178 questions 2ad, 3, 6, 7,
page 180 question 2,
page 182 1, 3, 8
11 SL Completing the Square
Complete the questions below for our next class.
Page 23 questions 2abcgh, 3ade.
11 HL Factor and Remainder Theorems
Complete the following questions for our next class.
Page 188 questions 1 and 2
Page 195 questions 2 and 4
Page 196–197 questions 2, 4, and 5a
11 SL Quadratics
Complete the following questions for tomorrow’s lesson. (These are the questions that we started in class.)
Page 21 questions 1abfl, 2adgj, 3ace.
Remember, if you get stuck or have any questions you can post a comment below.
12 SL Limits at Infinity Homework
Before completing these questions you should review your notes on rational functions from last year (in particular, focus on horizontal asymptotes). Also read the section on asymptotes and the two examples shown on pages 348–349.
Complete questions 1–3 on page 349.
Remember, if you get stuck or have any other questions you can post a comment below!