Maxima and Minima

Show that the function x^{3}+3x^{2}+3x, defined in the interval \left[-2,\,1\right] increases for all x.  Find its zeros and sketch its graph.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 2: Question 3, p. 10)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

Leave a Reply