Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). R = - x3 + 7x2 + 4, 0s xS 6 Find R'(x) and R"(x). R'(x) = 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. Ex, R) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 21PPS
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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).
7
v3
x³ + 7x2 + 4, 0<x< 6
9.
R = -
Find R'(x) and R"(x).
R'(x)
R"(x)
%3D
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
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). 7 v3 x³ + 7x2 + 4, 0<x< 6 9. R = - Find R'(x) and R"(x). R'(x) R"(x) %3D 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 verify your results. (x, R)
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