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.
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) ...
A step by step solution for an Implicit Differentiation example.