3.

(40 points) f(x)=5 3x4 + 4x3 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 0) Locate local maximum(s) and local mini- mum(s) (1) Draw the chart for the second derivative and e) List the intervals when the function is concave up and concave down: 1) Locate the inection point(s) g) Draw the graph and label the local extrema and inection point(s) on the graph of the function