Find the derivative of the function. y-글xV81- x2 + 81 arcsin(종)|

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 25T
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Differentiate
both sides of the above function with respect to x v
Write the differential.
dy
d
x(81 – x2)1/2 + 81 arcsin
())
=
dx
d x
u'
Recall the standard differential, [arcsin(u)] = V-2
d
and simplify the right side.
dx
1
1
dy
dx
1
(81 – x2)!
(-2x) + (81 – x2)1/2 +
(종)
6.
2.
Transcribed Image Text:Differentiate both sides of the above function with respect to x v Write the differential. dy d x(81 – x2)1/2 + 81 arcsin ()) = dx d x u' Recall the standard differential, [arcsin(u)] = V-2 d and simplify the right side. dx 1 1 dy dx 1 (81 – x2)! (-2x) + (81 – x2)1/2 + (종) 6. 2.
Find the derivative of the function.
XV
81 – x2 + 81 arcsin -
y
Transcribed Image Text:Find the derivative of the function. XV 81 – x2 + 81 arcsin - y
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