(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 hasthe function hasAt x =At x =At x =Submit Answer-Select---Select--a local minimuma local maximumneither a minimum nor a maximum

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Answered: (a) Find the critical numbers of the…

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(a) Find the critical numbers of the function f(x) = x(x - 2)5. X= (smallest value) X= X= (largest value)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

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Question

(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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