(See attached file for full problem description)
10. y = √x + 3 (√x+3 is all squared). Please use the Chain Rule
16. f (w) = w √w + w² (√w is only squared) Please use the Chain Rule
18. y = 4x³ - 8x² Please use the Chain Rule
46. Marginal Cost:
If c = 0.0001q³ - 0.02q² + 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
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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)
This solution is comprised of a detailed explanation to solve calculus for business. Marginal costs and demand equations are examined.