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Implicit Differentiation

If 2x^2 + 3xy = 12x + 5y, what is dy/dx?

I put the x's on one side and got:

2x^2 - 12 x = 3xy +5y

then 4x - 12 = 3y + 5, but I'm not sure how to get a dy and dx.

Solution Preview

2x^2 + 3xy = 12x + 5y
To solve for dy/dx, you have to use implicit differentiation. Take d/dx of each side:
d/dx (2x^2 + 3xy) ...

Solution Summary

A step by step solution for an Implicit Differentiation example.