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.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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