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An Implicit Differentiation problem

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Find the slope of the tangent line at the indicated point.

(a) Witch of Agnessi
(x^2 + 4)y = 8
Point: (2, 1)

(b) Bifolium
(x^2 + y^2)^2 = 4(x^2)y
Point: (1,1)

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The solution provides a theoretical explanation and then a very detailed and step-by-step work-out for the problem.

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Please see the attached file.

There is a very good reference on implicit differentiation:
http://archives.math.utk.edu/visual.calculus/3/implicit.7/

Theory
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