Question

Implicit differentiation:

3(x^2+y^2)^2=100xy

Answer 1

\[3(x ^{2}+y ^{2})^{2}=100xy\]

How should I go about differentiating this? Multiply everything out, or just dive straight in and use the chain rule?

Answer 2

\[6(x^2+y^2)(2x+2y \frac{dy}{dx})=100(y+x \frac{dy}{dx})\]

Answer 3

So you're using the chain rule, then just expand it out, then solve? Also, why is "(x)(dy/dx)" on the other side of your "="