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1.6 – Differentiation Techniques The Product and Quotient Rules.

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Presentation on theme: "1.6 – Differentiation Techniques The Product and Quotient Rules."— Presentation transcript:

1 1.6 – Differentiation Techniques The Product and Quotient Rules

2 1.6 – Differentiation Techniques The Product and Quotient Rules

3 1.6 – Differentiation Techniques The Product and Quotient Rules

4 1.6 – Differentiation Techniques The Product and Quotient Rules

5 1.6 – Differentiation Techniques The Product and Quotient Rules

6 1.6 – Differentiation Techniques The Product and Quotient Rules

7 Economics Marginal cost of production: the rate of change of costs with respect to the level of production. Cost of production: a function of the units produced (x) that generates the cost of producing those units. Average cost of production: the cost of production function divided by the number of units produced at that cost. Marginal cost is an approximation of the cost to produce one more unit after producing x units 1.6 – Differentiation Techniques The Product and Quotient Rules

8 Economics Cost of production: Find the average cost in producing 50 units. Find the marginal cost to produce the 51 st unit. Find the actual cost to produce the 51 st unit. 1.6 – Differentiation Techniques The Product and Quotient Rules

9 Economics Cost of production: Find the rate of change of the average cost. 1.6 – Differentiation Techniques The Product and Quotient Rules

10 1.6 – Differentiation Techniques The Product and Quotient Rules Find the derivative.

11 1.6 – Differentiation Techniques The Product and Quotient Rules Find the derivative.

12 1.6 – Differentiation Techniques The Product and Quotient Rules

13 1.6 – Differentiation Techniques The Product and Quotient Rules

14 1.6 – Differentiation Techniques The Product and Quotient Rules

15 1.5 – Differentiation Techniques The Power and Sum-Difference Rules

16 1.5 – Differentiation Techniques The Power and Sum-Difference Rules


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