Math 211 Business Calculus Applications of Derivatives

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$Math 229 Summation Worksheet$

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

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

– p. 34/34 Marginal Example Continued The exact increase in profit is P(51)−P(50) = 43,383.89−42,550 = 833.89 What is the marginal profit Differentiate P(x) = −0.006x 3 −0.2x 2 +900x−1200 P ′ (x) = −0.018x 2 −0.4x+900 What is the marginal profit whenx = 50 Answer: P ′ (50) = −0.018(50) 2 −0.4(50)+900 = −0.018(2500)−0.4(50)+900 = −45−20+900 = 835
– p. 34/34 Marginal Example Continued The exact increase in profit is P(51)−P(50) = 43,383.89−42,550 = 833.89 What is the marginal profit Differentiate P(x) = −0.006x 3 −0.2x 2 +900x−1200 P ′ (x) = −0.018x 2 −0.4x+900 What is the marginal profit whenx = 50 Answer: P ′ (50) = −0.018(50) 2 −0.4(50)+900 = −0.018(2500)−0.4(50)+900 = −45−20+900 = 835 Compare835 with actual increase in profit833.89
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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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Horizontal Asymptotes To find horiz
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Horizontal Asymptotes To find horiz
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Example 1. Compute the limit x 2 +8
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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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Graphs with asymptotes Sketch the g
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Graphs with asymptotes Sketch the g
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Graph of (x−2)/(x+1) - p. 13/34
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What level of sales maximizes profi
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- p. 22/34 Ticket Sales Problem •
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Another Fencing Problem The owner o
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Math 211 Business Calculus Applications of Derivatives

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