Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³6x² +9 Find f"(-3) and f"(9). f"(-3) = f"(9) = Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x = -3 (b) x = 9 concave up concave down concave up concave down
Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³6x² +9 Find f"(-3) and f"(9). f"(-3) = f"(9) = Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x = -3 (b) x = 9 concave up concave down concave up concave down
Calculus: Early Transcendentals
8th Edition
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...
Related questions
Question
![Consider the function.
\( f(x) = x^3 - 6x^2 + 9 \)
**Find \( f'(x) \).**
\( f'(x) = \) [Textbox]
**Find \( f''(x) \).**
\( f''(x) = \) [Textbox]
**Find \( f''(-3) \) and \( f''(9) \).**
\( f''(-3) = \) [Textbox]
\( f''(9) = \) [Textbox]
**Determine whether the function \( f(x) \) is concave up or concave down at the indicated points.**
(a) \( x = -3 \)
- [ ] concave up
- [ ] concave down
(b) \( x = 9 \)
- [ ] concave up
- [ ] concave down](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F125111cc-25a5-4f05-886d-ef1bfa459fc8%2Fa84b8ff4-4331-4acb-a0c2-6dd29b322cc8%2Fyzr3icr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function.
\( f(x) = x^3 - 6x^2 + 9 \)
**Find \( f'(x) \).**
\( f'(x) = \) [Textbox]
**Find \( f''(x) \).**
\( f''(x) = \) [Textbox]
**Find \( f''(-3) \) and \( f''(9) \).**
\( f''(-3) = \) [Textbox]
\( f''(9) = \) [Textbox]
**Determine whether the function \( f(x) \) is concave up or concave down at the indicated points.**
(a) \( x = -3 \)
- [ ] concave up
- [ ] concave down
(b) \( x = 9 \)
- [ ] concave up
- [ ] concave down
Expert Solution
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We need to find out the first derivative, second derivative and concavity.
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