Consider the function f(x) = In(x) – arctan(2.x). 2 a. Determine all critical points in the domain of f and write them as ordered pairs.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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2. Consider the function f(x) = In(x) – arctan(2.x).
2
a. Determine all critical points in the domain of f and write them as ordered pairs.
b. Use the second derivative to classify the critical points found above as local maximums, local
minimums, or if it is unable to determine the type of extrema.
С.
Use the Extreme Value Theorem and any work shown above to determine the absolute maximum and
1
absolute minimum of fon the interval
1 V3
2 2
Transcribed Image Text:5 2. Consider the function f(x) = In(x) – arctan(2.x). 2 a. Determine all critical points in the domain of f and write them as ordered pairs. b. Use the second derivative to classify the critical points found above as local maximums, local minimums, or if it is unable to determine the type of extrema. С. Use the Extreme Value Theorem and any work shown above to determine the absolute maximum and 1 absolute minimum of fon the interval 1 V3 2 2
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