Cost Function: The total cost (in hundreds of dollars) of producing x gourmet espresso makers per week is given by C (x) = 6 + v4x + 4. for 0< x < 30. Find C'(x) . and then find C'(15) and interpret the results in a sentence. A-D Find the x-values for which the function f (x) = horizontal tangent line. has a E-H 1²+ Find the equation of the tangent line to ƒ (x) = (2x + 1)° at %3D I-M x = -1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 81E
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Instructions.
1. Select your problems from the table below using the first letter of your last name.
2. Solve the problems showing the original problem and all supporting work. Make sure to include all units and an interpretation when applicable.
Your Interval
(based upon the
first letter of your
Problems from the Review
last name)
Cost Function: The total cost (in hundreds of dollars) of producing
x gourmet espresso makers per week is given by
C (x) = 6 + V4x + 4. for 0< x < 30. Find C'(x). and then
find C'(15) and interpret the results in a sentence.
A-D
Find the x-values for which the function f (x) = has a
E-H
horizontal tangent line.
Find the equation of the tangent line to f (x)
(2æ + 1)° at
I-M
x = -1.
Take the derivative of each of the following function explaining
each step (which rules are you using) and simplify your answers.
N-Q
a. y = 3 ln x– e2x+5
b. y = (2x + 1)*
Take the derivative of each of the following function explaining
each step (which rules are you using) and simplify your answers.
R-Z
a. g (x)
3m² –7
|b. y = 6J¤
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After posting your initial thread as described above, please read and respond to at least two of your fellow classmates' posts. Make sure that your response
includes the following:
• Specific thoughts about the process they have used to solve their problem. Do you agree with the answer? If so, is there an area in their work that
their process is different from what you would have used? If you do not understand a part of their problem, ask a specific question about that.
• Mention something about the problem that you solved or about a particular problem that you think might be on the exam.
Transcribed Image Text:Instructions. 1. Select your problems from the table below using the first letter of your last name. 2. Solve the problems showing the original problem and all supporting work. Make sure to include all units and an interpretation when applicable. Your Interval (based upon the first letter of your Problems from the Review last name) Cost Function: The total cost (in hundreds of dollars) of producing x gourmet espresso makers per week is given by C (x) = 6 + V4x + 4. for 0< x < 30. Find C'(x). and then find C'(15) and interpret the results in a sentence. A-D Find the x-values for which the function f (x) = has a E-H horizontal tangent line. Find the equation of the tangent line to f (x) (2æ + 1)° at I-M x = -1. Take the derivative of each of the following function explaining each step (which rules are you using) and simplify your answers. N-Q a. y = 3 ln x– e2x+5 b. y = (2x + 1)* Take the derivative of each of the following function explaining each step (which rules are you using) and simplify your answers. R-Z a. g (x) 3m² –7 |b. y = 6J¤ Reply Posts After posting your initial thread as described above, please read and respond to at least two of your fellow classmates' posts. Make sure that your response includes the following: • Specific thoughts about the process they have used to solve their problem. Do you agree with the answer? If so, is there an area in their work that their process is different from what you would have used? If you do not understand a part of their problem, ask a specific question about that. • Mention something about the problem that you solved or about a particular problem that you think might be on the exam.
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