Problem:
Using implicit differentiation, find the derivative dy / dx for the equation

x² + 15 x y + 4 y² = 8.

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Visualization:
The following LiveMath notebook shows the steps you would follow in doing this problem. It is possible for you to change the various coefficients. Note, however, that the notebook will not give you a solution if you make other changes as changing the exponents in the xy term. View an animation to see how to change the coefficients.