y = x ² √√9-x² = x²(9-x²) ¹/2 WwS =/0²7 xF-P y² = x² [² (9-x²) ²¹/²2 (2x)] + (9-x²) ¹2 (2x)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CT: Chapter Test
Problem 5CT: Solve for x: z=x.
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Hello. I have another differentiation problem. I am still having some trouble following the steps and the more worked out solutions with steps I see the easier they become. Could you please work out this problem so I can check my solution?
y =
y = x² √√9-x²
"WS FIN
x² = x² [+ (9-x²) ¹² (2x)] + (9-x²) ² (2x)
y' = -x ² (9-x²) ² ¹/² + 2x (9-x) %
-1/₂
y` = (9-x²) ¹² [-x²³ +18x-2x²³]
New
A P.S
=
-3x³ +18x
√9-x²
The
x² (9-x²) ¹/2
M=1²2,14 +0=-57.5
400-
= (1+²) S
224
Transcribed Image Text:y = y = x² √√9-x² "WS FIN x² = x² [+ (9-x²) ¹² (2x)] + (9-x²) ² (2x) y' = -x ² (9-x²) ² ¹/² + 2x (9-x) % -1/₂ y` = (9-x²) ¹² [-x²³ +18x-2x²³] New A P.S = -3x³ +18x √9-x² The x² (9-x²) ¹/2 M=1²2,14 +0=-57.5 400- = (1+²) S 224
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