Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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![a) Differentiate f (x) = sin x from first prinčiples.
b) A manufacturer estimates that when x units of a certain commodity are produced and sold, the
revenue derived will be R(x) = 0.5x? + 3x - 2 thousand dollars. Use the first principles of
differentiation to find the rate at which the revenue is changing with respect
production x when 3 units are being produced. Is the revenue increasing or decreasing at this time?
%3D
the level of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3524451-fcef-48e4-a310-673d9d07023c%2F3ed2e492-c85d-40d9-8113-9d96085e2614%2Ffw8880r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Differentiate f (x) = sin x from first prinčiples.
b) A manufacturer estimates that when x units of a certain commodity are produced and sold, the
revenue derived will be R(x) = 0.5x? + 3x - 2 thousand dollars. Use the first principles of
differentiation to find the rate at which the revenue is changing with respect
production x when 3 units are being produced. Is the revenue increasing or decreasing at this time?
%3D
the level of
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