can you please explain in words how the equation 3y^2 + 2xy + x^2 = 6 turned into 6y+2y+2x+2x=0??

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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can you please explain in words how the equation 3y^2 + 2xy + x^2 = 6 turned into 6y+2y+2x+2x=0??

1. Suppose that y is defined implicitly as a function of r by the following
equation:
3y² + 2xy + x² = 6
Find an expressions for dy/d.e and ď²y/d².r when . = y = 1. Compute
the tangent line to the function at (1,1).
bydy +2y +2xdy + 2x = 0
dze
Transcribed Image Text:1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x² = 6 Find an expressions for dy/d.e and ď²y/d².r when . = y = 1. Compute the tangent line to the function at (1,1). bydy +2y +2xdy + 2x = 0 dze
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