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600 550 500 450- 400- 350- 300- 250- 200 150- 100- 50- 04 The graph of the cost function C(x) to produce x items is shown. The function is a third degree polynomial. a. At which value of x is C'(x) the smallest? b. For what other point on the curve is the slope of the tangent line the same as the slope of the tangent line at x = 11? 2 4 Number of items 6 8 10 12 а. С" is the smallest value of C'(x). p. C'() =C'(11) Cost 2

600 550 500 450- 400- 350- 300- 250- 200 150- 100- 50- 04 The graph of the cost function C(x) to produce x items is shown. The function is a third degree polynomial. a. At which value of x is C'(x) the smallest? b. For what other point on the curve is the slope of the tangent line the same as the slope of the tangent line at x = 11? 2 4 Number of items 6 8 10 12 а. С" is the smallest value of C'(x). p. C'() =C'(11) Cost 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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600 550 500- 450 400- 350- 300- 250- 200- 150- 100- 50- 0- The graph of the cost function C(x) to produce x items is shown. The function is a third degree polynomial. a. At which value of x is C'(x) the smallest? b. For what other point on the curve is the slope of the tangent line the same as the slope of the tangent line at x = 11? 2 4 6 8 10 12 Number of items a. C'( ) is the smallest value of C'(x). b. C' () =C'(11)
Transcribed Image Text:600 550 500- 450 400- 350- 300- 250- 200- 150- 100- 50- 0- The graph of the cost function C(x) to produce x items is shown. The function is a third degree polynomial. a. At which value of x is C'(x) the smallest? b. For what other point on the curve is the slope of the tangent line the same as the slope of the tangent line at x = 11? 2 4 6 8 10 12 Number of items a. C'( ) is the smallest value of C'(x). b. C' () =C'(11)
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