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
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6533a3fc-a679-42bc-bc10-63e462af2ad3%2F98dd0f72-12de-4e3d-8d01-77602de2df84%2Frxzvj4_processed.png&w=3840&q=75)
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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