Let Show that x (0, 0) and y (0, 0) exist, but is not
Question:
Let
Show that ƒx(0, 0) and ƒy(0, 0) exist, but ƒ is not differentiable at (0, 0).
Transcribed Image Text:
f(x, y) = xy² x² + y4² 0, (x, y) = (0, 0) (x, y) = (0, 0).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
To determine if the function fx y xy2x2y4 is differentiable at the point 0 0 we need to check if the ...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Alejandro Puron recently encountered a dilemma in working with his quality circle (QC) team. One of the team members claims that the QC must always be unanimous in its recommendations....
-
Let be a continuous real-valued function on the unit circle {x R2 : |x| =1} such that f (0, 1) = g(1, 0) = 0 and g(- x )= - g(x). Define f: R2R by F (x) = {|x| . g (x/|x| x 0, 0 x = 0. (a) If x R2...
-
The function (x) = |x| has an absolute minimum value at x = 0 even though is not differentiable at x = 0. Is this consistent with Theorem 2? Give reasons for your answer. Theorem 2 THEOREM 2-The...
-
Differentiate between formal and behavioral roles, and describe how behavioral roles emerge during group interaction.
-
After incurring a serious injury caused by a manufacturing defect, your friend has sued the manufacturer for damages. The manufacturer made your friend three offers to settle the lawsuit: (a) Receive...
-
Sandy: Do you know if standards between the IFRS and U.S. GAAP have converged? Lori: No, I dont know if the standards have converged but I think the two are almost identical. Sandy: Is there a way we...
-
Provide an example, real or imagined, of a hypothesis test for the difference between two means.
-
IHOP Corporation franchises breakfast-oriented restaurants throughout North America. The average development costs for a new restaurant were reported by IHOP as follows: Land ............. $ 667,000...
-
Fox Company made the following expenditures: Renovation of a group of machines to secure significant increase in production over the remaining useful life Continuing, frequent and low cost repairs...
-
Create a Windows Forms application. Use the following names for the project and solution, respectively: Florist Project and Florist Solution. Save the application in the VB2017\Chap01 folder. a....
-
Show that each function satisfies a Laplace equation. (x, y) = 3x + 2y - 4
-
Show that each function satisfies a Laplace equation. (x, y) = e -2y cos 2x
-
Impro Company operates in a province where corporate taxes and workers compensation insurance rates have recently doubled. Impros president has just assigned you the task of preparing an economic...
-
Match the event to the expected exchange rate effect between Japan (whose currency is the yen) and South Africa (whose currency is the rand). Assume each has a floating exchange rate policy. 1....
-
The Nuremberg code was in effect while they extracted Henrietta Lacks cells. Why was it not followed?
-
A preemptive right is the right of existing shareholders to maintain their proportion of ownership of a company . They do so by acquiring their proportional share of any additional stock issuances by...
-
Company B from above invested $1,000,000 in a project with expected cash inflows of 300,000, 400,000 and 500,000 over the next three years, respectively. Assume no re-sale value. What is the NPV of...
-
1 . Without regard to the effect of controls _ _ _ _ _ _ _ _ _ have a reasonable possib;e of containing a mistatement that could cause the financial statement to be materially misstated. 2 . The _ _...
-
Chapter 7 discusses the Accounts Payable Sub ledger, Accounts Receivable Sub ledger, and Inventory Sub ledger. It also briefly introduces other sub ledgers such as the Property, Plant and Equipment...
-
Chloroplasts are illuminated until the levels of the Calvin cycle intermediates reach a steady state. The light is then turned off. How does the level of RuBP vary after this point?
-
Use partial fractions to find the indefinite integral. fox- 5x 2 (x - 2) dx
-
Find the indefinite integral using the substitution x = 2 tan . X /4 + x dx
-
Use partial fractions to find the indefinite integral. 4x + 2x - x + x 1 -dx
-
You took out some student loans in college and now owe $5,000. You consolidated the loans into one amortizing loan, which has an annual interest rate of 5% (AIR), compounded monthly. Part 1 Attempt...
-
Suppose that you own a business worth $100000. With probability 0.05, a disaster- a fire, let's say - occurs that reduces the value of the business to $50000. Let z denote the premium on an insurance...
-
You are a law clerk employed by an administrative tribunal in Ottawa. On January 20, 2024, during a nasty cold snap, Insp. Paul Hogan removed two dogs from a motor vehicle parked at St. Laurent...
Study smarter with the SolutionInn App