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 problem in class.
These review problems are additional 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 product is the
product of the derivatives.
We can see, how
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 real numbers x by
f (x) = sin x
it is understood that si
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 concerning
its derivatives.
Because f (x) represents the slope
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) influence the shape of the graph
of f.
Here we revisit t
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 required
to find the optimal (best) way of doing something