32(16 + 3x2) (16 – x2)3 32x Given f(x) = 16 – f'(x) = - x²' and f"(x) = %3D (16 – x²2)² (d) Determine the intervals where f is concave up, concave down, and find the inflection point (s), if any. (e) Sketch the graph of f and label all important points.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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32(16 + 3x?)
(16 – x²)3 °
32x
. Given f(x) =
16
x2 '
f'(x) =
(16 – x2)2
and f"(x) =
(d) Determine the intervals where f is concave up, concave down, and find the inflection
point(s), if any.
(e) Sketch the graph of f and label all important points.
Transcribed Image Text:32(16 + 3x?) (16 – x²)3 ° 32x . Given f(x) = 16 x2 ' f'(x) = (16 – x2)2 and f"(x) = (d) Determine the intervals where f is concave up, concave down, and find the inflection point(s), if any. (e) Sketch the graph of f and label all important points.
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