Suppose that the cost of drilling x feet for an oil well isC = f(x) dollars.(a) What are
Chapter 2, Problem 41(choose chapter or problem)
Focus on Concepts
Suppose that the cost of drilling \(x\) feet for an oil well is \(C=f(x)\) dollars.
(a) What are the units of \(f^{\prime}(x)\)?
(b) In practical terms, what does \(f^{\prime}(x)\) mean in this case?
(c) What can you say about the sign of \(f^{\prime}(x)\)?
(d) Estimate the cost of drilling an additional foot, starting at a depth of 300 ft given that \(f^{\prime}(300)=1000\).
Equation Transcription:
Text Transcription:
x
C=f(x)
f'(x)
f'(x)
f'(x)
f'(300)=1000
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