Question

1.For the given function f(x)=x^3-12x^2-60x+36, use either the 1^st derivative or 2^nd derivative test to calculate the following:

a). (5 pts) all critical points

b). (2 pts) draw the sign diagram

c). (2 pts) find all relative extreme points.

d). (3 pts) list the intervals where the function increases and decreases.

e). (4 pts) determine the inflection point

f). (3 pts) determine the intervals of concavity

g). (4 pts) sketch the graph