w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ? by converting w to a function of r and ? before differentiating

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 42E
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w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta)

(b) Find del w / del r and del w / del ? by converting w to a function of r and ? before differentiating

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Differentiate implicitly to find dy/dx.
cos(x) + tan(xy) + 4 = 3

 

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