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# (a) Use implicit differentiation to find $y'$ if$x^2 + xy + y^2 + 1 = 0$(b) Plot the curve in part (a). What do you see? Prove that what you see is correct.(c) In view of part (b), what can you say about the expression for $y'$ that you found in part (a)?

## (a) $$\frac{-2 x-y}{x+2 y}$$(b) SEE EXPLANATION

Derivatives

Differentiation

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Differentiation

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