CHAPTER 1 REVIEW 1. Find lim x2 +2x-35 x--7 x+7 2. For f(x) = x³ + x² – 2x %3D find the average rate of change as x changes from -1 to 2. a. b. find the instantaneous rate of change at x = 2. Differentiate the following: 3. x +24 a. f(x) = x + 8x² – 2 x3+x 3x²rx- x3+x b. y =** +1)x)-cDcx) * TO c. y = 8-x x2/3 + 750, where x is the 4. Given revenue and cost functions R(x) = 50x and C(x) number of items produced and R(x) and C(x) are in dollars, find the following. The average revenue, the average cost, and the average profit when x items a. are produced. b. The rate at which average cost is changing when 8 items are produced. Find the point(s) on the graph of v = x³ - 3x2 at which the tangent line is horizontal

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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unsure as to how to start this one can someone please out line how I do this type of problem

CHAPTER 1 REVIEW
1. Find lim
x2 +2x-35
x--7
x+7
2. For f(x) = x³ + x² – 2x
%3D
find the average rate of change as x changes from -1 to 2.
a.
b. find the instantaneous rate of change at x = 2.
Differentiate the following:
3.
x +24
a. f(x) = x + 8x² – 2
x3+x
3x²rx- x3+x
b. y =** +1)x)-cDcx)
* TO
c. y =
8-x
x2/3 + 750, where x is the
4. Given revenue and cost functions R(x) = 50x and C(x)
number of items produced and R(x) and C(x) are in dollars, find the following.
The average revenue, the average cost, and the average profit when x items
a.
are produced.
b. The rate at which average cost is changing when 8 items are produced.
Find the point(s) on the graph of v = x³ - 3x2 at which the tangent line is horizontal
Transcribed Image Text:CHAPTER 1 REVIEW 1. Find lim x2 +2x-35 x--7 x+7 2. For f(x) = x³ + x² – 2x %3D find the average rate of change as x changes from -1 to 2. a. b. find the instantaneous rate of change at x = 2. Differentiate the following: 3. x +24 a. f(x) = x + 8x² – 2 x3+x 3x²rx- x3+x b. y =** +1)x)-cDcx) * TO c. y = 8-x x2/3 + 750, where x is the 4. Given revenue and cost functions R(x) = 50x and C(x) number of items produced and R(x) and C(x) are in dollars, find the following. The average revenue, the average cost, and the average profit when x items a. are produced. b. The rate at which average cost is changing when 8 items are produced. Find the point(s) on the graph of v = x³ - 3x2 at which the tangent line is horizontal
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