1. The problem statement, all variables and given/known data y = (x^2+1)^1/2 * (x^3+1)^1/3 * (x^4+1)^1/4 * ....... * (x^100+1)^1/100 y'(1) Evaluate exactly. 2. Relevant equations 3. The attempt at a solution I'm not exactly sure what is needed to solve this, but I tried using product/chain rule but that doesn't end up nicely at all. I also tried using natural logs/implicit differentiation which was better but still couldn't finish it: y = 1/2ln(x^2+1) + 1/3ln(x^3+1) dy/dx = y [1/2(2x/x^2+1) + 1/2(3x^2/x^3+1)......] So basically dy/dx of all the terms on the right are 1/2 when x=1? If so, then dy/dx = y [99*1/2] = y[49.5] But it says to evaluate exactly so i'd need to plug in y which makes things complicated again? Any help would be appreciated, sorry if I didnt' make this very clear.