1. An investor invests is a start-up company. The profit in dollars for xthousand dollars invested is given byp(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 returnsfor the profit function.Hint: Use the chain rule in order to differentiate, do not multiply out.

Answered: Image /qna-images/answer/12dfea62-f790-4e8c-8b63-28e461ea23b3.jpg

Answered: 1. An investor invests is a start-up…

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...

See similar textbooks

Similar questions

Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = .. h(x) = %3D x-1
The air in a room with volume 180 m³ contains 0.3% carbon dioxide initially. Fresher air with only 0.05% carbon dioxide flows into the room at a rate of 2 m³/min and the mixed air flows out at the same rate. Find the percentage p of carbon dioxide in the room as a function of time t (in minutes). p(t) = 0.5556e % +0.7 X What happens to the percentage of carbon dioxide in the room in the long run? lim p(t) = 0.007 X %
Find the derivative of the function. f(x) = (2x−8)4(x2 + x + 1)5 (note: previous answers not correct)
the graph of f(x) is shown f(x)=(x^(2)+2x-3)/(x^(2)+4x-5) what is the limt of \lim_(x->\infty )f(x)? A; -5 B, 0 C, 1 D, \infty
In this model, the period immediately after the stock is issued offers excess returns on the stock—that is, the stock is selling for more than it is really worth. One such model for a class of Internet IPOs predicts the percent overvaluation of a stock as a function of time as R(t)=250(t2/(2.718)3t) where R (t) is the overvaluation in percent and t is the time in months after the initial issue. a. Use the information provided by the first derivative, second derivative, and asymptotes to prepare advice for clients as to when they should expect a signal to prepare to buy or sell (inflection point), the exact time when they should buy or sell (local maximum and minimum), and any false signals prior to a horizontal asymptote. Explain your reasoning. please type answer.
4. Find the second derivative of the function. Simplify if possible. f (1) = 2+5
and g(x)= 3x 1. Explain why you cannot take the derivative of the following functions without the rules learned in Section 2.3: f(x)%3D (3x)* 2. Explain the difference in how you would correctly rewrite these two functions to prepare to take a derivative. 3. Express each function in its rewritten form. 4. Take the derivative of each function in this form. 5. Rewrite your answer so that it does not utilize negative exponents.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS