1. The problem statement, all variables and given/known data If h(x):=0 for x<0 and h(x):=1 for x≥0. Prove there dne f:ℝ→ℝ such that f'(x) = h(x) for all x in ℝ. Give examples of two functions not differing by a constant whose derivatives equal h(x) for all x ≠ 0 2. Relevant equations 3. The attempt at a solution I don't know how to begin. Am I trying to prove that h(x) has no antiderivative. If so...can someone give me a hint as to which theorem I am supposed to use.