Problem #3: Consider the following function. f(x, y) = x3+18xy-912 (a) Find the critical points of f. (b) For each critical point in (a), find the value of det[H(xo, yo)] from the Second Derivative test that is used to classify the critical point. Separate your answers with a comma. Your first value of det[H(xo, yo)] must correspond to the first critical point in (a) [i.e., the critical point (0, 0)], and your second value of det! H(xo, yo)] must correspond with the second critical point. (c) Use the Second Derivative test to classify each critical point from (a). Note that for each given answer, the first classification corresponds to the first critical point in (a) [i.e., the critical point (0,0)] and the second classification corresponds to the second critical point in (a). (A) (0, 0), (6,6) (B) (0,0), (6,-6) (C) (0, 0), (-12, -12) (D) (0, 0), (12, 12) (E) (0, 0), (12,-12) (F) (0, 0), (-6,-6) (G) (0, 0), (-6,6) (H) (0,0), (-12, 12)

Problem #3: Consider the following function. f(x, y) = x3+18xy-912 (a) Find the critical points of f. (b) For each critical point in (a), find the value of det[H(xo, yo)] from the Second Derivative test that is used to classify the critical point. Separate your answers with a comma. Your first value of det[H(xo, yo)] must correspond to the first critical point in (a) [i.e., the critical point (0, 0)], and your second value of det! H(xo, yo)] must correspond with the second critical point. (c) Use the Second Derivative test to classify each critical point from (a). Note that for each given answer, the first classification corresponds to the first critical point in (a) [i.e., the critical point (0,0)] and the second classification corresponds to the second critical point in (a). (A) (0, 0), (6,6) (B) (0,0), (6,-6) (C) (0, 0), (-12, -12) (D) (0, 0), (12, 12) (E) (0, 0), (12,-12) (F) (0, 0), (-6,-6) (G) (0, 0), (-6,6) (H) (0,0), (-12, 12)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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