If f(a) = 0 and f(x) is decreasing at x = a, explain why f(x) must have

Question:

If f′(a) = 0 and f′(x) is decreasing at x = a, explain why f(x) must have a local maximum at x = a.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

See More Books

Question Posted: Mar 21, 2023 08:18 AM

See More Questions

1. Hannah is applying for a life policy on her girlfriend Sarahs life. The policy is $500,000 and carries a large premium. Hannah is the main earner, so she is concerned about not being able to pay...
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
Carol Harris, Ph.D, CPA, is a single taxpayer and she lives at 674 Yankee Street, Durham, NC 27409. Her Social Security number is 793-52-4335. Carol is an Associate Professor of Accounting at a local...
Five Smithtown High School students are saving up to buy their first cars. They all have after-school jobs, and their weekly salaries are listed in the table. Emily ..........................$110 Sam...
Yankee Doodle Dandy Candy Company manufactures a single product, an awesome chocolate bar. Last year, the company produced 4,000 bars and sold 3,500 of them. They had no candy bars at the beginning...
A. Identify ONE type of boundary data shown on the map.B. Identify the region of the United States where most dairy farms are located.C. Identify ONE spatial pattern shown on the map.D. Describe the...
What are the important goals and considerations of information security?
A mining company wishes to install some water supply wells to provide water for their operation. One pumping well has been completed and they are seeking approval for a second well. A Farmer on an...
Find the derivative of the given function. y = (x + 3)3
The graph of each function in Exercises has one relative extreme point. Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative minimum point. Do not...
Sketch the graph of a function having the given properties. Defined and increasing for all x 0; inflection point at x = 5; asymptotic to the line y = (3/4)x + 5
In its first month of operations, Bethke Company made three purchases of merchandise in the following sequence: (1) 300 units at $6, (2) 400 units at $7, and (3) 200 units at $8. Assuming there are...
What are the techniques used in forecasting?. in supply chain
As a family law paralegal, you will likely be called upon by family, friends, and acquaintances to give some "simple" legal advice. How should you handle these situations? Is it UPL for you to show...
You have $45,589.25 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $280,000. You expect to earn 10% annually on the...
Describe two to three legal challenges families face today regarding mental health issues. Using your state's websites, describe four laws , regarding mental health issues, that impact today's...
How do you think the changing economic conditions in Hungary changed logistics in the region?
Describe three organizations with distinctly different organizational cultures. Explain why they have different organizational cultures and the factors that have helped shape the style of each.
Reconsider Prob. 1474. In order to drain the tank faster, a pump is installed near the tank exit as in Fig. P1475. Determine how much pump power input is necessary to establish an average water...
Find the derivative. Assume a, b, c, k are constants. f(x) = kx 2
Find the relative rate of change of f(t) using the formula d/dt ln f(t). f(t) = 4.5t 4
Find the derivative. Assume that a, b, c, and k are constants. f(x) = axe bx
1 . a . What are the key elements of a Successful Business Model. Explain with examples? ( 6 marks ) 1 . b . Free offerings are rapidly spreading beyond online markets to physical world. How should...
1 . What is the starting point in doing a projected discounted cash flows analysis?A . Start with the projected increase in assets.B . Start with the required interest rate.C . Start with the sale...
Tanner-UNF Corporation acquired as a long-term Investment $170 million of 6% bonds, dated July 1, on July 1, 2024. Company management has the positive Intent and ability to hold the bonds until...

If f(a) = 0 and f(x) is decreasing at x = a, explain why f(x) must have

Question:

Step by Step Answer:

Since fa ...View the full answer

Calculus And Its Applications

Students also viewed these Mathematics questions