Maxima and Minima

Find the local maxima and minima and sketch the graph of the function 2x^{3}+3x^{2}-12x+1 in the interval \left[-3,\,3\right].  Find also the maximum and minimum values of the function in the given interval.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 2: Question 1, 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.

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