1) Find the intervals of increasing and decreasing for f(x) =2x3 – 4x2.
2) Find the local minimum and maximum points, if any,of f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, ifany, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals ofconcavity upward and downward for f(x). 4) Find the absolutemaximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval[0,5]. 5) Sketch the graph of y = 2x3 – 15x2 + 36x – 14 using theinformation from #2-4 along with the intercepts. 6) Given C = .02x3+ 55x2 + 1250, find the number of units x that produces the minimumaverage cost per unit, ?. ? 7) Find the maximum, minimum, andinflection points of f(x) = x4 – 18x2 + 5.
