1. The problem statement, all variables and given/known data find the following derivative d/dx [g(x + 1)(√(2+ (x + 8)^(1/3))/(cos(tan(sin(tan(sin x))))] at x = 0 2. Relevant equations 3. The attempt at a solution I split the big long derivative into 3 functions: a(x) = g(x + 1) b(x) = √(2+ (x + 8)^(1/3)) c(x) = cos(tan(sin(tan(sin x)))) and got : (a'x*bx + b'x*ax)(cx)-c'x*px*qx)/cx^2 subbing in x = 0 that simplified into 2*g'(1) but it was mentioned that it's possible to solve this without the quotient rule. I can't figure out how you would solve this derivative if you didn't use the quotient rule.