(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, )
(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
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