for the function: f(x)=24x^3+68x^2-1/3

a)find the critical points

b) identify intervals where f(x) is increasing or decreasing (create intervals table)

c) determine maximum/minimum points

d)Calculate the second derivative

e) determine the intervals where f(x) is concave up or down (create concavity table)

f) find any inflection points

g) sketch a graph and correctly label