Let g(x) be a continuous function for all x E R. If f'(x) = g(x)f(x) for all x E R, find f(x). Note: f(x) will depend on g(x) and f(x) is not the zero function.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Let g(x) be a continuous function for all x E R. If f'(x) = g(x)f(x) for all x E R, find f (x).
Note: f(x) will depend on g(x) and f(x) is not the zero function.
Transcribed Image Text:Let g(x) be a continuous function for all x E R. If f'(x) = g(x)f(x) for all x E R, find f (x). Note: f(x) will depend on g(x) and f(x) is not the zero function.
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