( ) =( 4 + 4 )( 3 + 2 2 ) ′ ( ) =( 4 + 4 ) =( 4 + 4 ) v=( 3 + 2 2 ) ( 3 + 4 ) + ¿ ( 3 + 2 2 ) ( 4 + 4 3 ) ′ ( ) =12 + 16 2 + 3 4 + 4 5 + 12 + 12 4 + 8 2 + 8 5 ′ ( ) =12 5 + 15 4 + 24 2 + 24 1.6 – Differentiation Techniques The Product and Quotient Rules
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1.6 Differentiation TechniquesThe Product and Quotient Rules
1.6 Differentiation TechniquesThe Product and Quotient Rules
1.6 Differentiation TechniquesThe Product and Quotient Rules
1.6 Differentiation TechniquesThe Product and Quotient Rules
1.6 Differentiation TechniquesThe Product and Quotient Rules
1.6 Differentiation TechniquesThe Product and Quotient RulesEconomicsMarginal 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 units1.6 Differentiation TechniquesThe Product and Quotient RulesEconomicsCost of production:Find the average cost in producing 50 units.Find the marginal cost to produce the 51st unit.Find the actual cost to produce the 51st unit.1.6 Differentiation TechniquesThe Product and Quotient RulesEconomicsCost of production:Find the rate of change of the average cost.1.6 Differentiation TechniquesThe Product and Quotient Rules1.6 Differentiation TechniquesThe Product and Quotient RulesFind the derivative. 1.6 Differentiation TechniquesThe Product and Quotient RulesFind the derivative. 1.6 Differentiation TechniquesThe Product and Quotient Rules1.6 Differentiation TechniquesThe Product and Quotient Rules1.6 Differentiation TechniquesThe Product and Quotient Rules1.5 Differentiation TechniquesThe Power and Sum-Difference Rules
1.5 Differentiation TechniquesThe Power and Sum-Difference Rules
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