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
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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).
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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