Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of barbecue sauce is given by C(x) =375+0.75x^3/4. Find the rate at which average cost is changing when 81 bottles of barbe-cue sauce have been produced.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of barbecue sauce is given by C(x) =375+0.75x^3/4. Find the rate at which average cost is changing when 81 bottles of barbe-cue sauce have been produced.

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Which derivative rule(s) were used to develop:

"So rate of change of average cost is given by A'(x) = d[A(x)]/dx= d[375/x + 0.75x^(-1/4)]/dx = -375/x^2 -(0.75/4)x^(-5/4)" 

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