THEOREM 1 Local Extrema and Partial Derivatives In Problem find f x (x, y) and f y
Question:
THEOREM 1 Local Extrema and Partial Derivatives
In Problem find fx(x, y) and fy(x, y), and explain, using Theorem 1, why f(x, y) has no local extrema.
f(x, y) = yex - 3x + 4y
Transcribed Image Text:
THEOREM 1 Local Extrema and Partial Derivatives Let f(a, b) be a local extremum (a local maximum or a local minimum) for the function f. If both fx and fy exist at (a, b), then f(a, b) = 0 and fy(a, b) = 0 (1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
fx y ye x 3x 4y for first ...View the full answer
Answered By
Hardik Dudhat
I am semi-qualified Chemical Engineering ,I have scored centum in accounting in my senior secondary and in my graduation. I have always helped my fellow students with their concerns on the subject, i have tutored on various tutoring sites in the past and also have taken home tuitions for degree and MBA students. As a tutor, I don't want my students to just get a solution, I want them to understand the concept and never have a doubt in that area thereon and i believe in excelling and not in educating.
0.00
0 Reviews
10+ Question Solved
Related Book For
College Mathematics For Business Economics, Life Sciences, And Social Sciences
ISBN: 978-0134674148
14th Edition
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker
Question Posted:
Students also viewed these Mathematics questions
-
Find the partial derivative of Y with respect to X in each of the following cases: a. Y = 10 + 3Z + 2X b. Y = 18Z2 + 4X3 c. Y = Z0.2X0.8 d. Y = 3Z/(4 + X)
-
Using Theorem 3, find f (t) if L(F) equals: 20 g3 2Ts?
-
Using Theorem 3, find f (t) if L(F) equals: 3s + 4 s* + ks .2
-
VMP = MRP for a price taker but not for a price searcher. Do you agree or disagree with this statement? Explain your answer.
-
The current price of a stock is $94, and three-month call options with a strike price of $95 currently sell for $4.70. An investor who feels that the price of the stock will increase is trying to...
-
A painter (mass 61 kg) is walking along a trestle, consisting of a uniform plank (mass 20.0 kg, length 6.00 m) balanced on two sawhorses. Each sawhorse is placed 1.40 m from an end of the plank. A...
-
Why is it necessary to introduce fictitious mesh points in the finite difference method of solution?
-
Presented below is information for Bach Company for the month of March 2014. Instructions (a) Prepare a multiple-step income statement. (b) Compute the gross profitrate. Cost of goods sold...
-
There are two Excel sheets in the workbook: budgeted and actual. The numbers on the actual sheet come from an external file sent over from another department Monthly. How can the monthly numbers be...
-
On August 1, 2024, Trico Technologies, an aeronautic electronics company, borrows $20.3 million cash to expand operations. The loan is made by FirstBanc Corporation under a short-term line of credit...
-
The marginal revenue for a company that manufactures and sells x graphing calculators per week is given by where R(x) is the revenue in dollars. Find the revenue function and the number of...
-
Use Lagrange multipliers to maximize f(x, y) = xy subject to 2x + 3y = 24.
-
Solve the given problems by use of an appropriate sequence or series. All numbers are accurate to at least two significant digits. Find the sum of the first 300 positive odd integers.
-
Durkheim noted that psychological explanations are insufficient when analyzing social behavior. In your own words, tell what this statement means?
-
Let w = 2/3 = -1+i3, let R = Z[w]. Let p be a positive == prime integer which is not equal to 3. (a) Prove that R is an Euclidean domain, and find all the units of R. (b) Prove that the ideal pR is a...
-
Apex Energy is evaluating the economics of building a 1000-megawatt nuclear power plant for $1.4 billion. The plant will have net revenue of $400 million per year and will operate for 30 years. At...
-
How do cultural dimensions, as proposed by Hofstede and other cultural theorists, inform our understanding of cross-cultural variations in organizational values, communication styles, and management...
-
Saif Company has issued 18,000 bonds with a market price of $110 per bond. Saif also has 29,000 common shares outstanding at a price of $80 per share. If the common shares will pay a dividend of $4.5...
-
Management of March and Dine Inc. has estimated that the firm's new TV dinner project must generate $10,200 in FCF during each of the next six years to have an NPV of $0. Management anticipates that...
-
A heat engine has a heat input of 3 Ã 104 Btu/h and a thermal efficiency of 40 percent. Calculate the power it will produce, in hp. Source 3 x 10 Btu/h 40% HE Sink
-
The interquartile range can be used as a measure of ____ as well as of variability.
-
There is more variability in a ____ than in a ____.
-
Because populations are so ____, it is practically impossible to measure variability in them.
-
Evaluate the challenges and solutions associated with implementing robust error handling and recovery mechanisms in operating systems, particularly in the context of disk I/O operations and system...
-
Erica, Deana & Tara had average capital balances of $350,000, $380,000 and $400,000 respectively during the current fiscal year. The partnership agreement provides for an allowance of 4% on the...
-
Retum to quest Grove Audio is considering the introduction of a new model of wireless speakers with the following price and cost characteristics. Sales price Variable costs Fixed costs Required: $...
Study smarter with the SolutionInn App