1. The problem statement, all variables and given/known data Implicit Differentiation: I Was given the equation find dy/dx: (3x3y2 + 7x) (x2y3 + 3xy)- 3. The attempt at a solution Ok, i know i have to use the product rule on top, and on bottom and the quotient rule for the fraction so... if i set s = 3x3 t = y2 u = (3x3y2 + 7x) w = x2 n = y3 z = 3x q = y v = (x2y3 + 3xy) ds = 9x2 dt = 2y(dy/dx) du = (s(dt) + t(ds)) + 7) dw = 2x dn = 3y2(dy/dx) dz = 3 dq = 1(dy/dx) dv = (w(dn) + n(dw)) + (z(dq) + q(dz)) Quotient rule: v(du) - u(dv)/(v2) ok, I'm just making sure i didn't make a mistake. so now i do: (x2y3 + 3xy)((3x3(2y(dy/dx)) + y2(9x2)) + 7)) - (3x3y2 + 7x)((x2(3y2(dy/dx)) + y3(2x)) + ((3x(1(dy/dx)) + 3y) (x2y3 + 3xy)2 I had a tutor help me out in Implicit Diff. but i still don't really remember this stuff unless i look at it, and i almost always get different from the professor, is the above correct ( without factoring?) it looks alot easier on my paper lol. and i'm supposed to be ready for this kind of magnitude questions on my exam :S i also don't know how i am going to be able to get dy/dx out of my equation, any tips there?