Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and f"(4). f"(-4)= F"(4) Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x = -4 O concave up concave down (b) x = 4 concave up concave down
Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and f"(4). f"(-4)= F"(4) Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x = -4 O concave up concave down (b) x = 4 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.**
\( f(x) = x^3 - 6x^2 + 3 \)
**Find \( f'(x) \).**
\( f'(x) = \) [Input Box]
**Find \( f''(x) \).**
\( f''(x) = \) [Input Box]
**Find \( f''(-4) \) and \( f''(4) \).**
\( f''(-4) = \) [Input Box]
\( f''(4) = \) [Input Box]
**Determine whether the function \( f(x) \) is concave up or concave down at the indicated points.**
(a) \( x = -4 \)
- [Radio Button] concave up
- [Radio Button] concave down
(b) \( x = 4 \)
- [Radio Button] concave up
- [Radio Button] concave down](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ac160ea-586d-4b6a-bc87-d7b74a3b50c7%2F08b76b0e-2d8a-4060-af47-40c879dcc801%2Fzqqtp9l_processed.png&w=3840&q=75)
Transcribed Image Text:**Consider the function.**
\( f(x) = x^3 - 6x^2 + 3 \)
**Find \( f'(x) \).**
\( f'(x) = \) [Input Box]
**Find \( f''(x) \).**
\( f''(x) = \) [Input Box]
**Find \( f''(-4) \) and \( f''(4) \).**
\( f''(-4) = \) [Input Box]
\( f''(4) = \) [Input Box]
**Determine whether the function \( f(x) \) is concave up or concave down at the indicated points.**
(a) \( x = -4 \)
- [Radio Button] concave up
- [Radio Button] concave down
(b) \( x = 4 \)
- [Radio Button] concave up
- [Radio Button] concave down
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