(x2 – 1)(2x) – (x² + 1)(2x) (x2 – 1)2 y' x2 +1 1)2 (x² + 1)² – (x2 – x2 - 1 (x² – 1)² 2x(x2 — 1-х2 — 1) (x² – 1)2 x2 +1 x4 +2x2 + 1- x4 + 2x (x² – 1)2 х2 — 1 - -4x y' (x² – 1)2. 4x2 x2 – 1V (x2 – 1)2 x2 + 1 -4x -2 y' (x² +1) answer (x2+1)(2x) Exercises: Evaluate the following and simplify theresul 9. y"of y = arc sin(2x – 3) 10. у"

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
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Question
(x2 – 1)(2x) – (x² + 1)(2x)
(x² – 1)2
y':
x2 + 1
(x2 + 1)2 — (х2 — 1)2
(x² – 1)²
x2
2x(x² – 1 – x² – 1)
(x2
- 1)2
x2 +1 x4 + 2x2 + 1- x4 + 2x2 – 1
х2 — 1 у
(x2 – 1)2
-4x
x2
+1
4x2
(x2 – 1)2 .
х2 — 1 у(x2 — 1)2
-4x
-2
y'
(x²+1)(2x)
%3D
answer
(x² +1)
Exercises: Evaluate the following and simplify theresult whenever possible
9. y"of y = arc sin(2x – 3)
10. y"of y
= arc tan
Transcribed Image Text:(x2 – 1)(2x) – (x² + 1)(2x) (x² – 1)2 y': x2 + 1 (x2 + 1)2 — (х2 — 1)2 (x² – 1)² x2 2x(x² – 1 – x² – 1) (x2 - 1)2 x2 +1 x4 + 2x2 + 1- x4 + 2x2 – 1 х2 — 1 у (x2 – 1)2 -4x x2 +1 4x2 (x2 – 1)2 . х2 — 1 у(x2 — 1)2 -4x -2 y' (x²+1)(2x) %3D answer (x² +1) Exercises: Evaluate the following and simplify theresult whenever possible 9. y"of y = arc sin(2x – 3) 10. y"of y = arc tan
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