# Calculus for Business

(See attached file for full problem description)

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10. y = âˆšx + 3 (âˆšx+3 is all squared). Please use the Chain Rule

16. f (w) = w âˆšw + wÂ² (âˆšw is only squared) Please use the Chain Rule

18. y = 4xÂ³ - 8xÂ² Please use the Chain Rule

5x

46. Marginal Cost:

If c = 0.0001qÂ³ - 0.02qÂ² + 3q + 6000 is a total -cost function, find the marginal cost when q = 100

48. Demand Equation:

If p = q +12 is a demand equation, find the rate of change of price p with respect to quantity q

q+5

https://brainmass.com/math/calculus-and-analysis/calculus-business-marginal-costs-76382

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The solution is attached below (next to the paperclip icon) in two formats. one is in Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

I must confess that the third problem does not really need the chain rule (but I used the chain rule there anyway - it only complicates matters)

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#### Solution Summary

This solution is comprised of a detailed explanation to solve calculus for business. Marginal costs and demand equations are examined.