Exam Solution Math122Test3

Which of the following approximates a local minimum

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Unformatted text preview: a) 1 (b) 2 (c) 3 ½ ½ ½ ½ (d) 4 Figure 1 ¾ Ü 5. How many critical points are in the graph pictured in Figure 1? Ý (a) 1 (b) 2 (c) 3 ½ ½ ½ ½ (d) 4 Figure 1 ¾ Ü 6. Which of the following approximates a local minimum value for the function graphed in Figure 2? (a) −6 ¾¼¼ Ý (b) 2 (c) 4 (d) 60 ½¼¼ ¿ ¾ ½ ½¾¿ Figure 2 Ü 6. Which of the following approximates a local minimum value for the function graphed in Figure 2? (a) −6 ¾¼¼ Ý (b) 2 (c) 4 (d) 60 ½¼¼ ¿ ¾ ½ ½¾¿ Figure 2 Ü 7. Suppose that g (x) = (4x3 − 6x2 + 6x − 3)e2x and g (x) = 8x3e2x. You do not need to justify that the derivative of g (x) above is what I have written for g (x). What is the derivative of g (x)3 ? (a) 24x3(4x3 − 6x2 + 6x − 3)2e2x (b) 24x3(4x3 − 6x2 + 6x − 3)2e4x (c) 24x3(4x3 − 6x2 + 6x − 3)2e6x (d) 24x3(4x3 − 6x2 + 6x − 3)2e8x 7. Suppose that g (x) = (4x3 − 6x2 + 6x − 3)e2x and g (x) = 8x3e2x. You do not need to justify that the derivative of g (x) above is what I have written for g (x)...
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