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Champion “Chips” Product Rule Quotient Rule Chain Rule CombosApps 10 20 30.

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Presentation on theme: "Champion “Chips” Product Rule Quotient Rule Chain Rule CombosApps 10 20 30."— Presentation transcript:

1 Champion “Chips” Product Rule Quotient Rule Chain Rule CombosApps 10 20 30

2 Product Rule for 10 Back

3 Product Rule for 20 Back Differentiate

4 Product Rule for 30 Back

5 Quotient Rule for 10 Back Differentiate

6 Quotient Rule for 20 Back Differentiate

7 Quotient Rule for 30 Back Differentiate

8 Chain Rule for 10 Back Differentiate

9 Chain Rule for 20 Back Differentiate

10 Chain Rule for 30 Back

11 Combos for 10 Back Differentiate

12 Combos for 20 Back

13 Combos for 30 Back Differentiate

14 Applications for 20 Back The cost function for producing x units of a product is C(x)=-0.003x 2 +4.2x+3000. The revenue function is R(x)=138x-0.15x 2. Determine the marginal profit for the sale of 100 units of the product. $104.40

15 Applications for 10 Back The demand function for a bottle of hand lotion is p(x)=0.78 +0.0003x, where x is the number of bottles sold and p is the price, in dollars. The cost function is C(x)=480-0.32x +0.0005x 2. Find the marginal profit when 700 bottles of hand lotion are sold. $0.82

16 Applications for 30 Back A company sells an average of 50 skateboards per month at a price of $120 each. For each $5 decrease in price, two more skateboards are sold. Determine the marginal revenue when 25 skateboards are sold. $120


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