1. The problem statement, all variables and given/known data Determine whether the pairs of functions are linear dependent or linearly independent. f(x) = x^3 g(x) = x2|x| 2. Relevant equations 3. The attempt at a solution g(x)=x^2|x| = x^2*sqrt[x^2] = sqrt[x^6] = x^3 f'=3x^2 g'=3x^2 fg'-f'g = 0 Linearly Dependent according to me, Linearly independent according to the book. I assume it has to do with the absolute value, could someone enlighten me?