MATH 171
Test 3 In-Class Review Worksheet
5/16
Name: _
Date: _
Topics: 4.2-4.8,2.8, 5.1-5.4 & Unit 1-2 Topics
Instructions: Please solve all the problems below. We will NOT be able to go over every pr
Differentiation Rules
3
3.2
The Product and Quotient Rules
The Product Rule
3
The Product Rule
By analogy with the Sum and Difference Rules, one might
be tempted to guess, that the derivative of a pro
Differentiation Rules
3
3.3
Derivatives of Trigonometric Func
Derivatives of Trigonometric Functions
In particular, it is important to remember that when we talk
about the function f defined for all r
2
Limits and Derivatives
2.8
What Does f Say About f ?
What Does f Say About f ?
Many of the applications of calculus depend on our ability to
deduce facts about a function f from information concerni
4
Applications of Differentiation
Derivatives
and the Shapes of Curves
4.3
Derivatives and the Shapes of Curves
We have discussed how the signs of the first and second
derivatives f '(x) and f ' (x) i
4
Applications of Differentiation
4.2
Maximum and Minimum Val
Maximum and Minimum Values
Some of the most important applications of differential
calculus are optimization problems, in which we are req