5. (10 points) For the function f(x)= 2x3 - 3x2 - 2 , find a) Find all the critical points and draw the chart for the first derivative b) List the intervals (use interval notation) when the function is increasing and decreasing c) Locate local maximum(s) and local minimum(s) d) Draw the chart for the second derivative and e) List the intervals when the function is concave up and concave down: f) List the inflection point(s) g) Label the local extrema and inflection point(s) on the graph