The average cost (in dollars) incurred by a media company each week in pressing x compact discs is given by the following equation. C(x) = −0.0003x + 3 + 3000/x        (0 < x ≤ 6000) Show that  C(x)  is always decreasing over the interval (0, 6000). Find  C'(x). C'(x) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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 The average cost (in dollars) incurred by a media company each week in pressing x compact discs is given by the following equation.
C(x) = −0.0003x + 3 + 3000/x
 
 
    (0 < x ≤ 6000)
Show that 
C(x)
 is always decreasing over the interval (0, 6000).
Find 
C'(x).
C'(x) = 
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