For the function f(x) = -2x¹ 2x³ + x² +1 a) Using rates of change, and a central interval with h = +0.0001, show that the location (-1, 2) has an instantaneous rate of change equal to zero. Show all work on your own paper b) Using rates of change from this unit, classify this location as a local maximum, local minimum or neither by selecting the correct choice from the multiple choice options below. JUSTIFY your choice using rates of change on your own paper. Do not use calculus and derivatives to justify. Local Minimum Neither Local Maximum