Consider the function f(x) = -2x3 + 33x? – 144x + 6 This function has two critical numbers A < Bị %3D and B = f"(A) = f"(B) = Thus f(x) has a local at Al (type in MAX or MIN) and a local at Bl (type in MAX or MIN).
Consider the function f(x) = -2x3 + 33x? – 144x + 6 This function has two critical numbers A < Bị %3D and B = f"(A) = f"(B) = Thus f(x) has a local at Al (type in MAX or MIN) and a local at Bl (type in MAX or MIN).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the function \( f(x) = -2x^3 + 33x^2 - 144x + 6 \). This function has two critical numbers \( A < B \).
- \( A = \) [________]
- \( B = \) [________]
- \( f''(A) = \) [________]
- \( f''(B) = \) [________]
Thus, \( f(x) \) has a local [________] at \( A \) (type in MAX or MIN) and a local [________] at \( B \) (type in MAX or MIN).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6900813d-7c23-46b7-a2db-4b3d463f1913%2Fbf01f947-5890-4900-bc12-847cf7dff2eb%2Fl0lonr6_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function \( f(x) = -2x^3 + 33x^2 - 144x + 6 \). This function has two critical numbers \( A < B \).
- \( A = \) [________]
- \( B = \) [________]
- \( f''(A) = \) [________]
- \( f''(B) = \) [________]
Thus, \( f(x) \) has a local [________] at \( A \) (type in MAX or MIN) and a local [________] at \( B \) (type in MAX or MIN).
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