What is the tangent line to the curve at the given point?

fk378
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Homework Statement


Find the tangent line to the curve y^2 (y^2 - 4) = x^2 (x^2 -5) at the point (0,-2).


Homework Equations


y-y1=m(x-x1)


The Attempt at a Solution


I d/dx-ed both sides and was left with dy/dx=0
so
y=-2
Does that seem right?
 
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Yup that's correct!
 
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