1. The problem statement, all variables and given/known data If f is differentiable at x=0 and g(x) = [f(x)]^2, f(0) = f'(0) = -1, then g'(0) = 2. Relevant equations MC Answers: (A) -2 (B) -1 (C) 1 (D) 4 (E) 2 3. The attempt at a solution The only thing I could think of was that if g(x) = (f(x))^2 then g'(0) = (f'(0))^2 and then g'(0) = 1. Does this make sense? I kind of feel like my logic is pseudo math and is giving me an incorrect answer.