For the function below, find the local extrema by using the First Derivative Test. 27 p(x) = x3 - -x2 + 42x + 1 2 Select the correct answer below: There is a local maximum at x = 2 and a local minimum at x = 7. O There is a local maximum at x = 2 and a local maximum at x = 7. There is a local minimum at x = 2. O There is a local minimum at x = 2 and a local maximum at x = 7. O There is a local maximum at x = 2