MCV 4U Unit 2 Outline:
Derivatives
Spring 2017
In this chapter, you will
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Understand and determine derivatives of polynomials and simple rational functions from first principles.
Identify examples of functions that are not differentiable.
Use rules for determine derivatives (power, product, quotient, chain, …)
Determine the composition of two functions expressed in notation, and decompose a given composite function
into its parts
 Use the derivative to solve problems involving instantaneous rates of change
Reminders:
 Do all of the assigned practice work.
 Check your answers.
 If your answer is not correct, you must
 Check that you used the right information and strategy,
 Then check that you used the appropriate process,
 Then check your particular calculation,
 Redo the question.
If you are still unable to arrive at the correct answer, bring it up during the take up homework
time or see me after the lesson is taught.
 Math Extra Help with me every Monday to Thursday from 11:00 – 11:30 in Room 208.
 Extra Help is always available Please make arrangements with me for extra help either during lunch
or after school upon an agreed time.
Online Assistances: If you are experiencing difficulties with completing a homework topic you are
encouraged to use the following websites for tutorial where you can watch videos online related to the topic.
http://courseware.cemc.uwaterloo.ca or http://www.khanacademy.org
Date
Mon.
Feb. 27th
Topics and Expected Homework Assignments
Topic/Learning Goal
Homework
Review of Prerequisite Skills
Pg 62-63 #’s 1-10
2.1 The Derivative Function
- We will formally define the definition of derivative: using limits
Pg 73-75 #’s 1ace, 5bd 6abd,
7bc, 9, 10, 12cd, 15, 20
(slope of tangent/rate of change)
-derivative at specific value a Vs derivative of function
-the normal line
-differentiability
Key Ideas: p. 72
2.2 The Derivative of Polynomial Functions
- We will learn how to find the derivative of polynomials and simple
rational functions using specific properties.
constant function rule (prove using power (algebraically) and using
points where tangent is horizontal (graphically)), power rule, constant
multiple rule, and sum/difference rule
Key Ideas: p. 81
2.3 The Product Rule
- We will differentiate a product of two or more functions using the
product rule.
Key Ideas: p. 90
Pg 82-84 #’s 2bcef, 3-6,
9bdf, 10b, 11, 12, 15, 17b,
20, 21, 24
Pg 90-91 #’s 1cde, 2bc,
5ade, 6, 7, 8b, 12-14
MCV 4U 2016/2017
Unit 2 Derivatives
2.4 The Quotient Rule
- We will differentiate a quotient of a function using the quotient rule.
Quiz #1
2.1-2.3
Key Ideas: p. 96
2.5 The Derivative of Composite Functions
-simple example and changing function into u=g(x) and y=f(x)
Nelson textbook
Pg 97-98 #’s 4bcf, 5cd, 6-8,
9b, 11, 12, 13, 16
Pg 105-106 #’s 1def, 4, 7,
8acf, 10, 13abd, 16, 17b
Key Ideas: p. 104
Review
Requires a full solution and must be handed in on test day for
evaluation
Pg 110-113 #’s 2abc, 5bcde,
6ab, 7c, 10ai, 11a, 12, 13, 18,
19, 22bc, 23bc, 24, 26,
28bfg, 30abc
Pg 114 #’s 2, 4ce, 5-7, 10