Consider f(x) = arctan(x²). Find the absolute maximum and minimum of f(x) on the interval [-7, 1]. Intermediate work f'(x) = 2x/(1+x^4) Critical points of in [-7, 1]. x = 0 Candidates for absolute maximum and absolute minimum. (x, y) = (0,0), 0

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider f(x) = arctan(x²).
Find the absolute maximum and minimum of f(x) on
the interval [-7, 1].
Intermediate work
f'(x) =
2x/(1+x^4)
Critical points of in [-7, 1].
x =
0
Candidates for absolute maximum and absolute
minimum.
(x, y)
(0,0), 0
=
Conclusion
The absolute minimum value is
0
The absolute maximum value is
None
None
when x =
when x =
Transcribed Image Text:Consider f(x) = arctan(x²). Find the absolute maximum and minimum of f(x) on the interval [-7, 1]. Intermediate work f'(x) = 2x/(1+x^4) Critical points of in [-7, 1]. x = 0 Candidates for absolute maximum and absolute minimum. (x, y) (0,0), 0 = Conclusion The absolute minimum value is 0 The absolute maximum value is None None when x = when x =
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