MATH 1300.03F D **Quiz 6** Friday,
October, 29 1999

NAME:

Student Number: No.Marks

**(20 Marks)**
Let .

(1) Find the intervals on which *f* is increasing or decreasing.

(2) Find the critical points of *f*.

(3) Evaluate the local maximum and local minimum values of *f*.

Solution: .

Let *f*'(*x*)=0. Then *x*=-2 and *x*=-3.

(1) *f* is increasing on and , and
decreasing on (-3,-2).

(2) The critical points of *f* are -3 and -2.

(3) The local maximum value is *f*(-3)=-10 and the local minimum value is *f*(-2)=-11.

Fri Oct 29 12:01:07 EDT 1999