[SOLVED] Calculus - Derivative Help?? 1. The problem statement, all variables and given/known data Consider the curve given by the equation y^3 + 3x^(2)y + 13 = 0. Find the minimum y - coordinate of any point on the curve. Justify your answer. 2. Relevant equations I solved parts a&b: dy/dx = -6xy / (3y^2 + 3x^2) Equation for line tangent to curve at (2,-1): y + 1 = 4/5 (x-2) 3. The attempt at a solution This is the other problem I cannot get. I tried to make up my own minimum to find a relative minimum, which my instructor said we could find, but I still couldn't get critical points. I also tried using the second derivative ... but that got too messy and I didn't know what to do. Any help would be fantastic! Thank you for your time and explanations!!