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0 1545 30. 3 min. S1 Final Review: Speed Trials. You should be averaging 3 minutes per multiple choice question. If f(u) = ln u and g(u) = e 3u , the g(f(1)). Stop. 0 1545 30. 1. Given y = √x 3 , what is y “‘(4)?. Stop. 0 1545 30. 2. Given Then f “‘ (x)=. 0 - PowerPoint PPT Presentation
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S1 Final Review: Speed Trials
You should be averaging 3 minutes per multiple choice question
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If f(u) = ln u and g(u) = e3u, the g(f(1))
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Given y = √x3, what is y “‘(4)?
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Given
Then f “‘ (x)=
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A restaurant realizes a monthly revenue of R(x) = 1000x – 10 x2 dollars per month when the fee per person is x dollars. What is the marginal revenue when the fee is $15 per person?
Marginal Cost = Derivative
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Plug in 5, get 0/0L’Hopital or Factor
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If y = v ln u and u and v are both differentiable, then uy’ is
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If y = 5 * 22x + 1 then y’ =
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If f(x) = ex – 1 sin x – 1, then f ‘(1) =
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Which of the following statements is (are) false for f(x) = ln(x + 1)sinx + 1
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If x cos y = x + y then what is dy/dx
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Recognize definition of derivative f (a + h) = 2e2+h
f (a) = 2e2
a = 2 f (x) = 2ex
f ‘(x) = 2ex
f ‘(x) = 2e2
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v = –4t + 8 = –4(t – 2)v = 0 @ t = 2v > 0 when t < 2v < 0 when t > 2a = –4 < 0 alwaysSpeeding up when a & v same sign
Suppose a particle moves on a straight line with a position function of s(t) = –2t2 + 8t. In what interval of time is the particle speeding up?
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The tangent line to the graph of m(x) at the point (2, 7) has slope of –4. Use the equation of the tangent to estimate m(2.02)
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Water flows into a cylindrical tank at a constant rate of 4 cubic meters per second. The radius of the cylinder is 5 meters. At what rate is the water level rising?
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If the position of a particle at any time t is given by s = –t3 – 5t, then the speed of the particle at time t = 7 is
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How many inflection points does 3x4 – 5x3 – 9x + 2 have?
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The circumference of a circle is changing at a rate of 10 cm/sec. At what rate is the radius of the circle changing when the diameter is 5 cm?
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Recognize definition of derivative f (a + h) = sin(π + h) f (a) = sin(π) a = π f (x) = sin x f ‘(x) = cos x f ‘(π) = cos π
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S1 Final Review: Speed Trials
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Some questions you might need a minute to think, so to average out there
should be conceptual questions you should be able to answer instantly
(under 1 minute)
