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Derivativeseasy
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A manufacturing firm finds that the total cost of producing www widgets is C(w)=0.5w2+10w+500C(w) = 0.5w^2 + 10w + 500C(w)=0.5w2+10w+500. What is the marginal cost, or the rate of change of cost, when w=20w = 20w=20?