Using the Second Derivative Test, Classify the Critical Points of the Function

Multiple Choice

Using the second derivative test, classify the critical points of the function f(t) = t³ - t² - t + 2 and locate any points of inflection.

A) local max at t = -1/3, local min at t = 1, inflection at t = 1/3
B) local min at t = -1/3, local max at t = 1, inflection at t = 1/3
C) local max at t = 1/3, local min at t = -1, inflection at t = -1/3
D) local min at t = 1/3, local max at t = -1, inflection at t = -1/3
E) none of the above