Consider the function and its derivatives: a) Identify the graph that displays f in blue (thick) and f" in red (thin). ? ✓ B. A. ن f(x) = = -4 x² +2 f'(x) +8x (x² + 2)² and ƒ"(x) = −24x2 +16 (x² + 2)3 b) Indicate the x-intervals where f is concave up and concave down. Give your answer in help (intervals). (Type INF for ∞ and -INF for -∞.) f is concave up on f is concave down on 曲

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Consider the function
and its derivatives:
a) Identify the graph that displays f in blue (thick) and f" in red (thin). ? ✓
B.
A.
ن
f(x) =
=
-4
x² +2
f'(x)
+8x
(x² + 2)²
and
ƒ"(x) =
−24x2 +16
(x² + 2)3
b) Indicate the x-intervals where f is concave up and concave down. Give your answer in help (intervals). (Type INF for ∞ and -INF for -∞.)
f is concave up on
f is concave down on
曲
Transcribed Image Text:Consider the function and its derivatives: a) Identify the graph that displays f in blue (thick) and f" in red (thin). ? ✓ B. A. ن f(x) = = -4 x² +2 f'(x) +8x (x² + 2)² and ƒ"(x) = −24x2 +16 (x² + 2)3 b) Indicate the x-intervals where f is concave up and concave down. Give your answer in help (intervals). (Type INF for ∞ and -INF for -∞.) f is concave up on f is concave down on 曲
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