A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards

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A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars. 

(a) What is the meaning of the derivative f'(x)? What are its units? 

(b) In practical terms, what does it mean to say that f'(1000) = 9? 

(c) Which do you think is greater, f'(50) or f'(500)? What about f'(5000)?

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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