Maxima and Minima

Find the local maxima and minima of the function x^{3}-9x^{2}+24x-7.  Sketch its graph for the interval \left[0,\,5\right].  How many real zeros has this function?

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 2: Question 5, 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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