Use implicit differentiation to find an equation of the line tangent to the curve $\displaystyle x^3 + 2xy +y^3 = 13$ at the point (1, 2).

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- Nov 29th 2006, 03:32 PMYogi_Bear_79Implicit Differentiation
Use implicit differentiation to find an equation of the line tangent to the curve $\displaystyle x^3 + 2xy +y^3 = 13$ at the point (1, 2).

- Nov 29th 2006, 03:54 PMPlato
$\displaystyle \begin{array}{l}

x^3 + 2xy + y^3 = 13 \\

3x^2 + \left[ {2y + 2xy'} \right] + 3y^2 y' = 0 \\

\end{array}$