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The function f(x) = = This function has a local minimum at x = with value 2x³ + 30x² 54x + 9 has one local minimum and one local maximum. and a local maximum at x = with value -

The function f(x) = = This function has a local minimum at x = with value 2x³ + 30x² 54x + 9 has one local minimum and one local maximum. and a local maximum at x = with value -

Advanced Engineering Mathematics
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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The function \( f(x) = -2x^3 + 30x^2 - 54x + 9 \) has one local minimum and one local maximum. This function has a local minimum at \( x = \) [box for input] with value [box for input] and a local maximum at \( x = \) [box for input] with value [box for input]
Transcribed Image Text:The function \( f(x) = -2x^3 + 30x^2 - 54x + 9 \) has one local minimum and one local maximum. This function has a local minimum at \( x = \) [box for input] with value [box for input] and a local maximum at \( x = \) [box for input] with value [box for input]
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Conditions for local maximum and local minimum point

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