Question: Let r = x 2 1 + + x 2 n and let g(r) be a function of r. Prove the formulas

Let r = √x21 + · · · + x2n and let g(r) be a function of r. Prove the formulas

dg ; Xi -gr, r 02g ? || x? r28rr + p - x p.3 -gr

dg ; Xi -gr, r 02g ? || x? r28rr + p

dg ; Xi -gr, r 02g ? || x? r28rr + p - x p.3 -gr

Step by Step Solution

★★★★★

3.38 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

By the Chain Rule we have xi We compute d xi We use the Chain Rule to computegr ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!

Q:

Prove that if g(r) is a function of r as in Exercise 49, then Data From Exercise 49 Let r = x 2 1 + + x 2 n and let g(r) be a function of r. Prove the formulas ag ax + + 8g = grr + x 'n n - 1 -gr r

Q:

Let be a function of bounded variation on [a, b] and be its total variation function. Prove that if is continuous at some point x0 (a, b), then is continuous at x0.

Q:

Conduct a study by formulating a research question of interest to you. Briefly discuss any theory that may be relevant in addressing your research question Formulate one hypothesis statement, test...

Q:

25. Let R; = {x ER|Isx= 1 +}} = [1, 1+ }] for each positive integer i. 4 a. Ri = ? b. Ri = ? i=0 i=0 c. Are RI, R2, R3, . . . mutually disjoint? Explain. n n d. URi = ? e. Ri = ? i=0 i=0 00 00 f. URi...

Q:

The volume of a region in n-dimensional Euclidean space R n is the integral of 1 over that region. The unit ball in R n is {(x1, . . . , xn) : x 2 1 + + x 2 n 1}, the ball of radius 1 centered at 0....

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

MTH299 - Homework 7 Name: XXXXXXXX Homework 7; Due Wednesday, 10/19/2016 Quick Answer Questions. No work needed. Question 1. Come up with a simpler expression for the following sets (a) P = [ Nn ,...

Q:

1. (60 pts True/False. Indicate whether the statement is true or false. If the statement is false, present an explanation or counterexample. (No explanation necessary for each true statement.) (2...

Q:

MATH 3210 Practice Final Exam for Discrete I You now have several quizzes and hour exams to study. The following in mainly a repetition of your previous practice and actual exams. 1. (a) Use truth...

Q:

Model 2: The Identity Function and Inverses There is a special function called the identity function, which we denote by id. This function always outputs exactly what was input: id 12. Evaluate the...

Q:

Kristie is a 35% partner in the KKM Partnership. During the current year, KKM reported the following: gross sales 480,000 Office expenses 30,000 long term capital gain 18,000 Guaranteed payments to...

Q:

Consider your business school or other academic unit as a business enterprise. a. Define several major data entity types and draw a preliminary enterprise data model (similar in notation to Figure...

Q:

For Questions 7 to 1 2 ) Refer to the following lease amortization schedule. The 1 0 payments are made annually starting with the beginning of the lease. Title does not transfer to the lessee and...

Q:

=+14-10 Provide an example of a decision that would require the managers to balance the competing objectives of social, environmental and economic performance.

Q:

Use a graphing utility to find the derivative of each function at the given number. -5x + 9x + 3 r + 5x? - 6 at -3 |f(x)

Q:

Use a graphing utility to find the derivative of each function at the given number. f(x) = x sinx at /3

Q:

Use a graphing utility to find the derivative of each function at the given number. f(x) = x sinx at /4

Q:

how does IBM apply to Access Control

Q:

You know the following concerning a common stock : EPS $3.00 Payout ratio 25% P/E 10 Annual rate of growth of earning and dividends 6% If you want to earn 10 percent, should you buy this stock? What...

Q:

Calculate volumetric flow rate (m3/s) of supply air at 14oC necessary to maintain a space at 23oC and 60% relative humidity when the space sensible load is 35 kW and the latent load is 15 kW