1. An investor invests is a start-up company. The profit in dollars for æ thousand dollars invested is given by p(x) = 40(x – 5)4 – (x – 5)6 + 70x – 50. (a) Find the the points x > 0 for which the second derivative of p(x) vanishes. (b) Find the inflection points and the point of diminishing returns for the profit function. Hint: Use the chain rule in order to differentiate, do not multiply out.
1. An investor invests is a start-up company. The profit in dollars for æ thousand dollars invested is given by p(x) = 40(x – 5)4 – (x – 5)6 + 70x – 50. (a) Find the the points x > 0 for which the second derivative of p(x) vanishes. (b) Find the inflection points and the point of diminishing returns for the profit function. Hint: Use the chain rule in order to differentiate, do not multiply out.
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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