Let f(x) = xell. Determine the intervals of concavity of f(x). f(x) is concave up on (-∞, -1) U (0, ∞) and concave down on O f(x) is concave up on (0, ∞) and concave down on (-∞, 0). 2 O f(x) is concave up on (-1,0) and concave down on (-∞, - (-7, ∞) and concave down on (-∞, f(x) is concave up on (- f(x) is concave up on (-∞, - 2 - -) and concave down on (- 11 (-717,0). 11 -) U (0, ∞). -3/17). 11 ,∞).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(x) = xell. Determine the intervals of concavity of f(x).
f(x) is concave up on (-∞, -1) U (0, ∞) and concave down on (-11-
, 0).
O f(x) is concave up on (0, ∞o) and concave down on (-∞, 0).
f(x) is concave up on (-1,0) and concave down on (-∞, -1) U (0, ∞).
(-7, ∞) and concave down on (-∞, -1)
2
f(x) is concave up on
f(x) is concave up on (-∞,
2
-) and concave down on (-
11
2
11
∞).
Transcribed Image Text:Let f(x) = xell. Determine the intervals of concavity of f(x). f(x) is concave up on (-∞, -1) U (0, ∞) and concave down on (-11- , 0). O f(x) is concave up on (0, ∞o) and concave down on (-∞, 0). f(x) is concave up on (-1,0) and concave down on (-∞, -1) U (0, ∞). (-7, ∞) and concave down on (-∞, -1) 2 f(x) is concave up on f(x) is concave up on (-∞, 2 -) and concave down on (- 11 2 11 ∞).
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