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The relationship between the amount of money x that a company spends on advertising and the...

The relationship between the amount of money x that a company spends on advertising and the company's total sales S(x) is given by the following function where x is measured in thousands of dollars.

S(x) = −0.002x3 + 0.3x2 + 7x + 500      (0 ≤ x ≤ 200)

Find the rate of change of the sales with respect to the amount of money spent on advertising.
S'(x) =

Math   Calculus   
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