Find x-values at which f is differentiable. F(x)=3x/(x+1)

Answer 1

A function is differentiable if it has no holes, jumps or sharp points. This function has a vertical asymptote so is not defined at x = -1 (it's a jump, if you will). There are no other x values for with there is a problem. So f(x) is differentiable for x = (-∞, -1) and (-1, ∞)