Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of
Question:
Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point.
f (x, y) = 4 arctan(xy), (1, 1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
fx y 4 arctanxy The partial derivatives are f x y 4 4x 1...View the full answer
Answered By
Rashul Chutani
I have been associated with the area of Computer Science for long. At my university, I have taught students various Computer Science Courses like Data Structures, Algorithms, Theory of Computation, Digital Logic, System Design, and Machine Learning. I also write answers to questions posted by students in the area of and around Computer Science.
I am highly fortunate to receive great feedback on my teaching skills that keeps me motivated. Once a student sent me an email stating that I had explained to him a concept better than his professor did.
I believe in the fact that "Teaching is the best way to learn". I am highly fascinated by the way technology nowadays is solving real-world problems and try to contribute my bit to the same.
Besides tutoring, I am a researcher at the Indian Institute of Technology. My present works are in the area of Text Summarization and Signal and Systems.
Some of my achievements include clearing JEE Advanced with an All India Rank of 306 out of 1.5 million contesting candidates and being the Department Ranker 1 at my University in the Department of Computer Science and Engineering.
I look forward to providing the best Tutoring Experience I can, to the student I teach.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Which is the most appropriate equations for the vertical and horizontal asymptotes: 10 -5 -10- Vertical asymptote: x = 1: horizontal asymptote: 4, y = 0 %3D Vertical asymptotes: x = 0; horizontal...
-
Explain why the function is discontinuous at the given number a. Sketch the graph of the function. (a) f(x) = 1/x + 2, a = - 2 (b) e if x <0 f(x) = a=0
-
Explain why the function is discontinuous at the given number a. Sketch the graph of the function. 15. f(x) = In |x - 2| a = 2 if x1 16. f(x) = - a = 1 if x= 1 Se* * if x>0 if x <0 17. f(x) a =0 if x...
-
True or False? Azure storage is used by both Infrastructure as a Service ( ( laaS ) ) virtual machines, and Platform as a Service ( ( PaaS ) ) cloud services. True False
-
The table below represents a stack stored in a contiguous block of memory cells, as discussed in the text. If the base of the stack is at address 10 and the stack pointer contains the value 12, what...
-
Find figures for the monetary aggregate M0 for the years 19952003 in the UK, in nominal terms.
-
Repeat Example 7.3 using \(10 \mathrm{~kg} / \mathrm{h}\) of solvent in each stage. Data From Example 7.3:- The feed of Example 7.2 is extracted three times with pure chloroform at 298 K, using 8...
-
The stockholders equity accounts of G.K. Chesterton Company have the following balances on December 31, 2008. Common stock, $10 par, 300,000 shares issued and outstanding ... $3,000,000 Paid-in...
-
Simplify: 6/8p 98p.
-
For the case of methanol synthesis discussed in Example 22.2, determine the appropriate expression for the equilibrium constant K(T) for the case when inerts are present in the feed along with the...
-
Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point. f (x, y) = 1 + y/1 + x , (1, 3)
-
Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point. f (x, y) = y + sin(x/y), (0, 3)
-
What is involved in risk assessment and risk management?
-
Post a brief description of at least one strategy you have used in the past (academically or professionally) that was advantageous in empowering you in terms of one or more of the following skill...
-
Please give a brief description on NIRONE sensor technology 2) Please give a detailed description of how educational institutions can use this technology in operations( as in operations and...
-
A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford moves at a constant speed of 48.5 m/s. Just as the Ford passes it, the Toyota is traveling at 24.8...
-
1. A brief summary of the Australian cinema industry and also Hoyts cinemas. 2. Analyze the general environment (using PESTLE analysis) of the Australian Cinema Industry and discuss their strategic...
-
12-19. A train starts from rest at station A and accelerates at 0.5 m/s for 60 s. Afterwards it travels with a constant velocity for 15 min. It then decelerates at 1 m/s until it is brought to rest...
-
Howard Motors manufactures specialty tractors. It has two divisions: a Tractor Division and a Tire Division. The Tractor Division can use the tires produced by the Tire Division. The market price per...
-
Classify each of the following activities as proper or prohibited under the various consumer statutes you have studied. a. Calling a hospital room to talk to a debtor who is a patient there. b....
-
Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent. n=1 sin(n/6) 1+ n/h
-
Determine whether the series converges or diverges. n=1 n+ cosn n
-
Find the sum of the series. 1-e + e 2! 3! + e4 4!
-
A force F is acting on a body as it moves between (0, 0) and (1, 1). If the force is Evaluate the work done when the path is a) Along the line y=x F = (xy)+(x)j b) Along the curve y=x" c) Along the x...
-
Write a well-developed paragraph, summarizing the physical development of the observed 4-year-old child. Students must discuss at least 4 specific objective observations from their time spent...
-
An open cylindrical tank is 150 feet in diameter and 180 feet high.The side surface area of the tank (without top and bottom) should be painted with paint that covers 225 square feet per gallon.When...
Study smarter with the SolutionInn App