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Unformatted text preview: f =-2x 3-3y 4 + 6xy 2 and use the Second-Derivative Test to classify them. Answer: The function has local maxima at (1 , 1) and (1 ,-1). The Second-Derivative Test fails at (0 , 0). The graph of the function of Example 3 is in Figure 13 and its level curves are in Figure 14. FIGURE 13 FIGURE 14 Interactive Examples Work the following Interactive Examples on Shenks web page, http//www.math.ucsd.edu/ashenk/: Section 15.2: Examples 13 The chapter and section numbers on Shenks web site refer to his calculus manuscript and not to the chapters and sections of the textbook for the course....
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