The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and f"(-9) = 0. What can be concluded? O f(x) has a local minimum at x = -9. f(x) has a local maximum at x = -9. f(x) has neither a local minimum nor a local maximum at x = -9. O none of these

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The function \( f(x) \) has a continuous second derivative, and it satisfies \( f(-9) = -1 \), \( f'(-9) = 0 \), and \( f''(-9) = 0 \). What can be concluded?

- \( f(x) \) has a local minimum at \( x = -9 \).
- \( f(x) \) has a local maximum at \( x = -9 \).
- \( f(x) \) has neither a local minimum nor a local maximum at \( x = -9 \).
- none of these
Transcribed Image Text:The function \( f(x) \) has a continuous second derivative, and it satisfies \( f(-9) = -1 \), \( f'(-9) = 0 \), and \( f''(-9) = 0 \). What can be concluded? - \( f(x) \) has a local minimum at \( x = -9 \). - \( f(x) \) has a local maximum at \( x = -9 \). - \( f(x) \) has neither a local minimum nor a local maximum at \( x = -9 \). - none of these
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