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MY CALCULUS 2 STUDY GUIDE - https://jakesmathlessons.com/calculus... The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 - 0.01x + 0.000006x^2 (in dollars per yard). Find the increase in cost if the production level is raised from 2000 yards to 4000 yards. This problem is a good example of how to find cost from marginal cost or how to find total cost from marginal cost. This type of problem is common in calculus 2 and is a good marginal cost example so you can see how to find the increase in cost. 0:00 Intro & Find the Increase in Cost 0:44 Total Cost from Marginal Cost 2:23 Production level is raised from 2000 yards to 4000 yards 2:57 Use the power rule to integrate 3:54 Evaluate from 2000 to 4000 yards WATCH NEXT All Things Integrals (My Calculus 2 Study Guide Playlist) - • ALL THINGS INTEGRALS - My Calculus 2 Study... YOU MIGHT ALSO BE INTERESTED IN... Get my calculus 2 study guide - https://jakesmathlessons.mykajabi.com... Work with me! - Come to Wyzant for some 1-on-1 online tutoring with me and get a $40 tutoring credit for FREE - https://is.gd/cqeuOv Problem Credit: Single Variable Calculus: Concepts and Contexts by James Stewart - Chapter 5.3 Problem #67 - https://amzn.to/3nnmrxH Some links in this video description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you.