(a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) x= (largest value) (b) What does the Second Derivative Test tell you about the behavior of fat these critical numbers? the function has -Select- At x = X= . (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) the function has -Select-- the function has -Select- the function has --Select- -Select- a local minimum a local maximum At x = At x = At x =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) Find the critical numbers of the function f(x) = x(x - 2)5.
X=
(smallest value)
x=
(largest value)
(b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers?
the function has -Select-
At x =
"
X =
(c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.)
the function has
-Select--
Select--
the function has
the function has
At x =
At x =
At x =
Submit Answer
-Select--
-Select--
a local minimum
a local maximum
neither a minimum nor a maximum
Transcribed Image Text:(a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) x= (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? the function has -Select- At x = " X = (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) the function has -Select-- Select-- the function has the function has At x = At x = At x = Submit Answer -Select-- -Select-- a local minimum a local maximum neither a minimum nor a maximum
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