(4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since f"(x) 0 when x = 0 or x = +V21, we set up the following chart: Interval 7x 21 - x2 (x + 7) f"(x) f x < -/21 CU on (-, -V21) -/21 < x < 0 CD on (-V21, 0) + 0< x < 21 CU on (0, V21) V 21 < x CD on (V21, )

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 8E
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Find inflection points. -Smaller x-value -(0,0) -larger x-value
(4x + 42x)(x² + 7)? - (x+21x) 2(x² + 7)2x
(x² +7)4
(G) f"(x)
14x(21 – x²)
(x² + 7)
Since f"(x) = 0 when x=0 or x = +V 21, we set up the following chart:
Interval
7x
x2 (+7) f"(x)
21-
f
x < -V21
CU on (-, -V21)
+.
21 < x < 0
CD on (-V21, )
0 < x < 21
CU on (0, V21)
V 21 < x
CD on (V21, )
Transcribed Image Text:(4x + 42x)(x² + 7)? - (x+21x) 2(x² + 7)2x (x² +7)4 (G) f"(x) 14x(21 – x²) (x² + 7) Since f"(x) = 0 when x=0 or x = +V 21, we set up the following chart: Interval 7x x2 (+7) f"(x) 21- f x < -V21 CU on (-, -V21) +. 21 < x < 0 CD on (-V21, ) 0 < x < 21 CU on (0, V21) V 21 < x CD on (V21, )
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