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Differentials and Marginal Analysis

This resource focuses on differentials and marginal analysis, specifically comparing values of dy and Δy for specific functions. It provides guidance to complete a table for given functions when x=1. The document also demonstrates how to use differentials to approximate changes in cost, revenue, or profit with a one-unit increase in sales. Additionally, it includes step-by-step instructions to find the differential dy for various scenarios. This content is modeled after problems and examples found in standard calculus textbooks to facilitate understanding.

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Differentials and Marginal Analysis

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  1. Differentials and Marginal Analysis

  2. 1. Compare the values of dy and Δy for the function.(similar to p.240 #1-6)

  3. 2. Let x = 1 and complete the table for the function

  4. 3. Use differentials to approximate the change in cost, revenue, or profit corresponding to an increase in sales of one unit.(Hint dx = Δx = 1)(Similar to p.240 #13-18)

  5. 4. Use differentials to approximate the change in cost, revenue, or profit corresponding to an increase in sales of one unit.(Hint dx = Δx = 1)(Similar to p.240 #13-18)

  6. 5. Use differentials to approximate the change in cost, revenue, or profit corresponding to an increase in sales of one unit.(Hint dx = Δx = 1)(Similar to p.240 #13-18)

  7. 6. Find the differential dy(Similar to p.240 #19-28)

  8. 7. Find the differential dy(Similar to p.240 #19-28)

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