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Directions: The graph of function f(x) is given below. Use this to sketch the graph of its derivative f'(x). • Notation: If necessary, use -inf and inf to denote -∞ and ∞o and NONE if a value does not exist Multiple Answers: If a problem has more than one answer, separate each of your answers with a comma. .

Directions: The graph of function f(x) is given below. Use this to sketch the graph of its derivative f'(x). • Notation: If necessary, use -inf and inf to denote -∞ and ∞o and NONE if a value does not exist Multiple Answers: If a problem has more than one answer, separate each of your answers with a comma. .

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 1CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Directions: The graph of function f(x) is given below. Use this to sketch the graph of its derivative f'(x). • Notation: If necessary, use -inf and inf to denote -∞ and ∞o and NONE if a value does not exist Multiple Answers: If a problem has more than one answer, separate each of your answers with a comma. ● f(x) -1 1 2 3 4 5 x
Transcribed Image Text:Directions: The graph of function f(x) is given below. Use this to sketch the graph of its derivative f'(x). • Notation: If necessary, use -inf and inf to denote -∞ and ∞o and NONE if a value does not exist Multiple Answers: If a problem has more than one answer, separate each of your answers with a comma. ● f(x) -1 1 2 3 4 5 x
Part 1 The Function Use the above graph of f(x) to answer the following questions: 1. List the x-value(s) where f(x) has a horizontal tangent line. 2. List the x-value(s) where f(x) has a vertical tangent line. 3. What is the domain of f(x)? (Use interval notation) 4. List the open interval(s) where f(x) is increasing. 5. List the open interval(s) where f(x) is decreasing? (Use interval notation) (Use interval notation) Part 2 The Derivative Sketch the graph of the derivative f'(x). Use your sketch of f'(x) to then answer the following questions: 1. List the x-value(s) where f'(x) = 0. 2. List the x-value(s) where f'(x) has a vertical asymptote. 3. What is the domain of f'(x)? (Use interval notation) 4. List the open interval(s) where f'(x) is positive? 5. List the open interval(s) where f'(x) is negative? (Use interval notation) (Use interval notation)
Transcribed Image Text:Part 1 The Function Use the above graph of f(x) to answer the following questions: 1. List the x-value(s) where f(x) has a horizontal tangent line. 2. List the x-value(s) where f(x) has a vertical tangent line. 3. What is the domain of f(x)? (Use interval notation) 4. List the open interval(s) where f(x) is increasing. 5. List the open interval(s) where f(x) is decreasing? (Use interval notation) (Use interval notation) Part 2 The Derivative Sketch the graph of the derivative f'(x). Use your sketch of f'(x) to then answer the following questions: 1. List the x-value(s) where f'(x) = 0. 2. List the x-value(s) where f'(x) has a vertical asymptote. 3. What is the domain of f'(x)? (Use interval notation) 4. List the open interval(s) where f'(x) is positive? 5. List the open interval(s) where f'(x) is negative? (Use interval notation) (Use interval notation)
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Calculus For The Life Sciences
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ISBN:
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