Math 211 Business Calculus Applications of Derivatives

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$Math 229 Summation Worksheet$

$Math 211 Business Calculus - Department of Mathematical Sciences ...$

$Math 230 Practice Exam 1 Solutions$

$Math 210 Lecture Notes - Department of Mathematical Sciences ...$

– p. 20/34 Maximize Pr<strong>of</strong>it As a general rule P(x) = R(x)−C(x) By calculus we know P ′ (x) = R ′ (x)−C ′ (x) and P ′′ (x) = R ′′ (x)−C ′′ (x) ThusP ′ (x) = 0 if and only if R ′ (x) = C ′ (x) This critical point is a maximum
– p. 20/34 Maximize Pr<strong>of</strong>it As a general rule P(x) = R(x)−C(x) By calculus we know P ′ (x) = R ′ (x)−C ′ (x) and P ′′ (x) = R ′′ (x)−C ′′ (x) ThusP ′ (x) = 0 if and only if R ′ (x) = C ′ (x) This critical point is a maximum if and only ifP ′′ (x) < 0
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- p. 1/34 Math 211 Business Calculu
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- p. 2/34 Asymptotes A nonvertical
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- p. 3/34 Example Lety = f(x) = x+
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Example Lety = f(x) = x+ 1 x f ′
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- p. 4/34 Graph of x+1/x ♣ (1,2)
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Graph of x+1/x 1 lim x→0 + x =
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- p. 4/34 Graph of x+1/x 1 lim x→
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- p. 4/34 Graph of x+1/x 1 lim x→
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- p. 5/34 Vertical Asymptotes To fi
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- p. 6/34 Horizontal Asymptotes To
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Horizontal Asymptotes To find horiz
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Horizontal Asymptotes To find horiz
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- p. 7/34 Computing Limits When fin
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- p. 8/34 Example 1. Compute the li
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Example 1. Compute the limit x 2 +8
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- p. 8/34 Example 1. Compute the li
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- p. 9/34 Second example This limit
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Second example This limit may end u
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- p. 9/34 Second example This limit
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- p. 10/34 Graphs with asymptotes S
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Graphs with asymptotes Sketch the g
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Graphs with asymptotes Sketch the g
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- p. 11/34 Graphs continued Since t
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Graphs continued Since the first de
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Graphs continued Since the first de
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- p. 11/34 Graphs continued Since t
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- p. 12/34 Find the Asymptotes For
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Find the Asymptotes For y = f(x) =
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Find the Asymptotes For y = f(x) =
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Graph of (x−2)/(x+1) - p. 13/34
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- p. 13/34 Graph of (x−2)/(x+1) x
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- p. 13/34 Graph of (x−2)/(x+1) x
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- p. 13/34 Graph of (x−2)/(x+1) x
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- p. 14/34 Business Applications Th
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- p. 16/34 Maximize Revenue If the
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- p. 16/34 Maximize Revenue If the
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Page 179 and 180: - p. 21/34 Maximize Profit Example
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Page 193 and 194: - p. 22/34 Ticket Sales Problem •
Page 199 and 200: - p. 23/34 Ticket Sales Setup Letx=
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- p. 27/34 Dog Kennel Solution Solv
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- p. 28/34 Another Fencing Problem
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Another Fencing Problem The owner o
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- p. 29/34 Fencing Problem Setup Le
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- p. 30/34 Fence Solution Solve xy
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Fence Solution Solve xy = 810 fory:
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- p. 31/34 Limit Def Revisited Reca
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- p. 32/34 Marginal Revenue, Profit
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- p. 33/34 Marginal Example Flying
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- p. 34/34 Marginal Example Continu
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Math 211 Business Calculus Applications of Derivatives

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