AP Calc AB MCQ Practice

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1
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The derivative of a function f is given by f’(x) = 0.1x + e0.25x At what value of x for x > 0 does the line tangent to the graph of f at x have a slope 2?

c. 2.287

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b. 0.433

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d. f’(0.4) < f’(-1.5) < f’(-3.1)

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b. 0

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a. -6/pi

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b. y = 5x - 4

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b. B

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c. II and III only

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a. f is neither continuous nor differentiable at x = 2

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d. f is not differentiable at x = -3 and x = -1 because the graph of f has horizontal tangents at x = -3 and -1

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a. -2 + sqrt(3)

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a. -sqrt(3)/2

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c. -5/3e^x

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d. -22

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c. 31

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C

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c. 3/4

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c. 3/16

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b. 5

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d. sec^2x

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d. -csc x cot x

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d. There is no error