009A Sample Final 2, Problem 4

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

$3x^{2}+xy+y^{2}=5$ at the point $(1,-2)$

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Solution:

(a)

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ExpandStep 2:

(b)

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ExpandStep 2:

(c)

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ExpandFinal Answer:
(a)
(b)
(c)

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