Math Homework
dle820
question_1.docxQUESTION 1
· If f(t) = t4ln(3t + 5), what is f '(t)?
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· 4t3[3 / (3t + 5)] |
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· 4t3 / (3t + 5) |
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· (t4)[ 3 / (3t + 5) ] + [ln(3t + 5)](4t3) |
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· (t4)(4t3) + [ln(3t + 5)][ 3 / (3t + 5) ] |
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· None of These |
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10 points
QUESTION 2
· What is the derivative of f(x) = 2e4x-5 ?
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· f '(x) = 2e4x - 5 |
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· f '(x) = 8e4x - 5 |
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· f '(x) = 2e4x - 6 |
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· f '(x) = 8e4x - 6 |
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· None of These |
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10 points
QUESTION 3
· If f(x) = 5x / (2x - 1), what is f '(3)?
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· -1/5 |
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· 0 |
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· 1/5 |
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· 5/2 |
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· None of These |
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10 points
QUESTION 4
· What is the instantaneous rate of change of h(x) = 6ln(x) at x = 2?
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· 0 |
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· 3 |
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· 6ln(3) |
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· 6 |
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· None of These |
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10 points
QUESTION 5
· If f(x) = [ex + ln(x)]-13, what is f '(x)?
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· -13[ex + ln(x)]-12[ex + (1/x)] |
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· -13[ex + (1/x)]-12[ex + ln(x)] |
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· -13[ex + ln(x)]-14[ex + (1/x)] |
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· -13[ex + (1/x)]-14[ex + ln(x)] |
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· None of These |
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10 points
QUESTION 6
· If g(x) = (7x3 - 1)14(x2 + 50)49, what is g '(x)?
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· [14(7x3 - 1)13][49(x2 + 50)48] |
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· 14(7x3 - 1)13(21x2) + 49(x2 + 50)48(2x) |
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· 14(21x2)13(7x3 - 1) + 49(2x)48(x2 + 50) |
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· (7x3 - 1)13[49(x2 + 50)49(2x)] + (x2 + 50)49[14(7x3 - 1)13(21x2)] |
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· None of These |
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10 points
QUESTION 7
· If g(x) = (2 + 3x + x1/2)(5 - x + x1/4), what is g '(16)?
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· -486 |
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· -2547/32 |
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· 387/16 |
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· 5289/256 |
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· None of These |
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10 points
QUESTION 8
· If f(x) = (x3 + 5)38, what is f '(x)?
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· 38(x3 + 5)37 |
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· 38(3x2)37 |
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· 38(x3 + 5)37(3x2) |
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· 38(3x2)37(x3 + 5) |
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· None of These |
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10 points
QUESTION 9
· What is the derivative of g(x) = ln(x7 - 5x2 + 1)?
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· g '(x) = ln(7x6 - 10x) |
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· g '(x) = 1 / (x7 - 5x2 + 1) |
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· g '(x) = (x7 - 5x2 + 1) / (7x6 - 10x) |
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· g '(x) = (7x6 - 10x) / (x7 - 5x2 + 1) |
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· None of These |
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10 points
QUESTION 10
· A drug is injected into the bloodstream of a patient through her left arm. The concentration of the drug (in milligrams per cubic centimeter) in her right arm t hours after the injection is given is given by C(t) = 0.12t / (t2 + 1) What is the instantaneous rate of change of the concentration of the drug in her right arm 3 hours after the drug is injected into her left arm?
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· -0.0216 milligrams per cubic centimeter per hour |
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· -0.0096 milligrams per cubic centimeter per hour |
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· 0.036 milligrams per cubic centimeter per hour |
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· 0.048 milligrams per cubic centimeter per hour |
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· None of These |
