1. The problem statement, all variables and given/known data Find the expression for the slope on the lower half of the circle y^2 + x^2 = 25. 2. Attempt at a solution. The text says you get 2x + 2y(dy/dx) = 0. I got this and then solved for dy/dx to get dy/dx = -2y - 2x. Then, I substituted for y the x value-expression for the lower region, y = - sqrt(25 - x^2) and I got dy/dx = -2x - 2(sqrt(25 - x^2)). Now the text gets the answer in another way: 2x + 2y(dy/dx) = 0; then, 2x + 2(sqrt(25 - x^2))dy/dx = 0; then, dy/dx = -2x/2(sqrt(25 - x^2)) = -x/sqrt(25 - x^2). I see what they did. But what's wrong with the way I did it? Are the two answers equivalent in some way that I don't see, or how is mine wrong? Thanks.