Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Consider the function f(x)
x² - 4
x +4
In this problem, give all answers accurate to at least 3 decimal places.
a. Find the domain of f(x). Enter your answer in interval notation. (-∞,—4) U (−4,∞)
b. Find the first derivative. f'(x)
(x² + 8x+4)
(x+4)²
c. List any critical values.
d. Identify intervals of increase.
e. Identify intervals of decrease.
f. f(x) has a maximum of y
g. f(x) has a minimum of y
h. Find the second derivaitve. f'(x)
i. Identify intervals where f(x) is concave up.
j. Identify intervals where f(x) is concave down.
k. List any inflection points. Enter answer as an ordered pair, or if there is no inflection point, type
"DNE."
when x
when x
OT
-
OT
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