2 - x 3. Let f(x) = ! + In x. It is known that f'(x) 1 and f"(x) = x2 x3 (a) State the domain of f. (b) Find the intervals where f (x) is increasing or decreasing. (c) Find the values of xr where f(x) has a local maximum or a local minimum (if any). (d) Find the intervals of concavity of f(x). (e) Find the (x, y)-coordinates of inflection points (if any).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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x – 1
2 – x
3. Let f(x) =1+ In x. It is known that f (x):
and f"(x)
%3D
r2
(a) State the domain of f.
(b) Find the intervals where f(x) is increasing or decreasing.
(c) Find the values of x where f(x) has a local maximum or a local minimum (if any).
(d) Find the intervals of concavity of f(x).
(e) Find the (r, y)-coordinates of inflection points (if any).
Transcribed Image Text:x – 1 2 – x 3. Let f(x) =1+ In x. It is known that f (x): and f"(x) %3D r2 (a) State the domain of f. (b) Find the intervals where f(x) is increasing or decreasing. (c) Find the values of x where f(x) has a local maximum or a local minimum (if any). (d) Find the intervals of concavity of f(x). (e) Find the (r, y)-coordinates of inflection points (if any).
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