Exam Solution Math122Test3

Exam Solution Math122Test3 - T EST 3 P ROBLEMS 1 1 What is...

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T EST 3 P ROBLEMS
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1. What is the derivative of 1 x ? (a) - 1 2 x - 3 / 2 (b) 1 2 x 1 / 2 (c) 2 x (d) - 2 x - 1 / 2
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1. What is the derivative of 1 x ? (a) - 1 2 x - 3 / 2 (b) 1 2 x 1 / 2 (c) 2 x (d) - 2 x - 1 / 2
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2. What is the derivative of xe - x ? (a) e - x + xe - x (b) xe - x + e - x - 1 (c) e - x - xe - x - 1 (d) e - x - xe - x
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2. What is the derivative of xe - x ? (a) e - x + xe - x (b) xe - x + e - x - 1 (c) e - x - xe - x - 1 (d) e - x - xe - x
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3. What is the derivative of ln( x 3 - 3 x ) ? (a) 1 x 3 - 3 x (b) 1 ( x 3 - 3 x ) 2 (c) 3 x 2 - 3 x 3 - 3 x (d) 3 x 2 - 3 ( x 3 - 3 x ) 2
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3. What is the derivative of ln( x 3 - 3 x ) ? (a) 1 x 3 - 3 x (b) 1 ( x 3 - 3 x ) 2 (c) 3 x 2 - 3 x 3 - 3 x (d) 3 x 2 - 3 ( x 3 - 3 x ) 2
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4. What is the derivative of x 2 x - 1 ? (a) 1 (2 x - 1) 2 (b) - 1 (2 x - 1) 2 (c) 1 2 (d) 1 4
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4. What is the derivative of x 2 x - 1 ? (a) 1 (2 x - 1) 2 (b) - 1 (2 x - 1) 2 (c) 1 2 (d) 1 4
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5. How many critical points are in the graph pictured in Figure 1? (a) 1 (b) 2 (c) 3 (d) 4 Figure 1
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5. How many critical points are in the graph pictured in Figure 1? (a) 1 (b) 2 (c) 3 (d) 4 Figure 1
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6. Which of the following approximates a local minimum value for the function graphed in Figure 2? (a) - 6 (b) 2 (c) 4 (d) 60 Figure 2
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6. Which of the following approximates a local minimum value for the function graphed in Figure 2? (a) - 6 (b) 2 (c) 4 (d) 60 Figure 2
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7. Suppose that g ( x ) = (4 x 3 - 6 x 2 + 6 x - 3) e 2 x and g 0 ( x ) = 8 x 3 e 2 x . You do not need to justify that the derivative of g ( x ) above is what I have written for g 0 ( x ) . What is the derivative of g ( x ) 3 ?
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Exam Solution Math122Test3 - T EST 3 P ROBLEMS 1 1 What is...

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