Cоnsider the functiоn f(x)=x3-4x2+4x+1f(x) = x^3-4x^2+4x+1. (а) Find the criticаl pоints of ff. (b) Stаte the intervals of increase and decrease of ff. (c) Find the local maximum and minimum values of ff. (d) Find the intervals of concavity of ff. (e) Find all inflection points of ff. In each case give enough detail to fully justify your answer, including phase lines where appropriate.