Please solve Questions 2 and 3 showing the working and steps done so I can understand it properly myself thank you!

Question 2: a) Given f(x) = -x3 + 3x + 3, identify critical points using first derivative and all local extrema. [3 Marks] b) Find all local extrema for f (x) = 3vx + 3. [2 Marks] Question 3: For the Curve f(x) = x4 - 4x3 - 8x2 - 1, determine the maximum and/or minimum point(s) using the second derivative test. [4 Marks]