Consider the function. Find f'(x). f'(x) = Find f"(x). f"(x) = Find f"(-1) and f"(4). f"(-1) = f"(4) = f(x) = x³ − 3x² + 2 Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x = -1 concave up concave down (b) x = 4 concave up concave down
Consider the function. Find f'(x). f'(x) = Find f"(x). f"(x) = Find f"(-1) and f"(4). f"(-1) = f"(4) = f(x) = x³ − 3x² + 2 Determine whether the function f(x) is concave up or concave down at the indicated points. (a) x = -1 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...
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![Consider the function.
\( f(x) = x^3 - 3x^2 + 2 \)
1. Find \( f'(x) \).
\( f'(x) = \) [Box for input]
2. Find \( f''(x) \).
\( f''(x) = \) [Box for input]
3. Find \( f''(-1) \) and \( f''(4) \).
\( f''(-1) = \) [Box for input]
\( f''(4) = \) [Box for input]
4. Determine whether the function \( f(x) \) is concave up or concave down at the indicated points.
(a) \( x = -1 \)
- [ ] concave up
- [ ] concave down
(b) \( x = 4 \)
- [ ] concave up
- [ ] concave down](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fb337a0-9a98-4ec4-965f-d9970fe27ae6%2F39df56b9-2fb8-42fb-a19e-b4eca514f679%2Fdgeaso2_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function.
\( f(x) = x^3 - 3x^2 + 2 \)
1. Find \( f'(x) \).
\( f'(x) = \) [Box for input]
2. Find \( f''(x) \).
\( f''(x) = \) [Box for input]
3. Find \( f''(-1) \) and \( f''(4) \).
\( f''(-1) = \) [Box for input]
\( f''(4) = \) [Box for input]
4. Determine whether the function \( f(x) \) is concave up or concave down at the indicated points.
(a) \( x = -1 \)
- [ ] concave up
- [ ] concave down
(b) \( x = 4 \)
- [ ] concave up
- [ ] concave down
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