6) Without the aid of a graph, find the absolute maximum and minimum values of the function f(x)=36x° +2665x + 240x - 675 + 4534x² - 5836x³ - 516x³ over the interval [0,4]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
6) Without the aid of a graph, find the absolute maximum and minimum values of
the function
f(x) = 36x +2665x + 240x - 675 +4534x² - 5836x³ - 516x³
[0,4]
over the interval
HINT: Input your function into maple, find the first derivative and solve it for x after
setting it to zero. Substitute the x-values obtained as well as your endpoints into the
original functions to observe the y-values. Only subs x-values that lie within the
closed interval given.
Transcribed Image Text:6) Without the aid of a graph, find the absolute maximum and minimum values of the function f(x) = 36x +2665x + 240x - 675 +4534x² - 5836x³ - 516x³ [0,4] over the interval HINT: Input your function into maple, find the first derivative and solve it for x after setting it to zero. Substitute the x-values obtained as well as your endpoints into the original functions to observe the y-values. Only subs x-values that lie within the closed interval given.
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