A firm estimates that it will sell N units of a product after spending x dollars on advertising, where dollars. Use the derivative to find the relative maximum of the function. Justify that your answer is a maximum by using the number line below and by completing the table below. 9. OSxS 50, and x is in thousands of N(x) - + 50x + 8, 47 Interval Sign of f'(x) b. Find f'(x) and then calculate f'(0) for the function f(x) = 3ex - 7x + 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A firm estimates that it will sell N units of a product after spending x dollars on
advertising, where
dollars. Use the derivative to find the relative maximum of the function. Justify that
your answer is a maximum by using the number line below and by completing the table
below.
0SxS 50, and x is in thousands of
9.
N(x) - + 50x + 8,
47
Interval
Sign of f'(x)
b. Find f'(x) and then calculate f '(0) for the function f(x) = 3ex - 7x + 2.
Transcribed Image Text:A firm estimates that it will sell N units of a product after spending x dollars on advertising, where dollars. Use the derivative to find the relative maximum of the function. Justify that your answer is a maximum by using the number line below and by completing the table below. 0SxS 50, and x is in thousands of 9. N(x) - + 50x + 8, 47 Interval Sign of f'(x) b. Find f'(x) and then calculate f '(0) for the function f(x) = 3ex - 7x + 2.
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