sider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). R = -2x + 5x2 + 9, 0s x5 6 9 d R'(x) and R"(x). x) = x) = d the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing ults. R) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars).
3
+ 5x2 + 9, 0<x < 6
9.
R =
Find R'(x) and R"(x).
R'(x)
%3D
R"(x)
Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your
results.
(x, R) =
Transcribed Image Text:Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). 3 + 5x2 + 9, 0<x < 6 9. R = Find R'(x) and R"(x). R'(x) %3D R"(x) Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. (x, R) =
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