Find the derivative dy/dx if x^2+y^2=7, in terms of x and y. We differentiate both sides of the equation using the chain rule, and the fact that (dx)/(dx)=1. We then obtain: 2x(dx)/(dx)+2y(dy)/(dx)=0, that is 2x+2y(dy)/(dx)=0 So my question is totally basic: what does (dx)/(dx) stand for? What's it doing in there in the first place?

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