SOLUTION: Find two points on the curve (C)······ x^2 y+y^4 +6=4+2x, where x = 1. At each of those points , find an equation of the tangent line to C.

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Question 1023927: Find two points on the curve
(C)······ x^2 y+y^4 +6=4+2x,
where x = 1. At each of those points , find an equation of the tangent line to C.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
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Two solutions:

and



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To find the slope of the tangent line, find the derivative at that point.
Differentiate implicitly,



When , ,

So then the tangent line is,


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When , ,

So then the tangent line is,



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