650 e0.13r e0.13z + 50 6.5e-0.13r (1+50e-0.13x)² 1+ 56.5e-0.13x (1+50e-0.13r)² 100 – 650 e-0.13x e-0.13x + 50

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 44RE
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Suppose that SpyBorg Inc introduces a new computer game in Houston using television advertisements. Surveys show that the P% of the target audience buy the game after x ads are broadcast, satisfying

 

P(x)=100/1+50e^(-.13x)

Find P'(x)

 

650 e0.13r
e0.13z + 50
6.5e-0.13r
(1+50e-0.13x)²
1+ 56.5e-0.13x
(1+50e-0.13r)²
100 – 650 e-0.13x
e-0.13x + 50
Transcribed Image Text:650 e0.13r e0.13z + 50 6.5e-0.13r (1+50e-0.13x)² 1+ 56.5e-0.13x (1+50e-0.13r)² 100 – 650 e-0.13x e-0.13x + 50
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