Question: Explain that for the function f(x, y) = xy, of x :(1,1) = Dif(1,1) = 1 but for the function g(y, x) = yx2,

Explain that for the function f(x, y) = xy, of x :(1,1)

Explain that for the function f(x, y) = xy, of x :(1,1) = Dif(1,1) = 1 but for the function g(y, x) = yx2, 3x -(1,1) = D2g(1,1) = 2. Also check that f = g.

Step by Step Solution

★★★★★

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Accounting Questions!

For the function f whose graph is shown in Exercise 1, arrange the following numbers in increasing order and explain your reasoning: 0 f (2) f (3) - f (2) [ f (4) - f (2)]

For the function f defined by f(x) = x 2 - 4x + 1, find: (a) f(2) (b) f(x) + f(2) (c) f (-x) (d) -f(x) (e) f(x + 2) (f) f(x + h) f(x) h + 0

For the function f (x) = x4 - 6x3 + x2 + 24x - 20, Use long division to determine whether each of the following is a factor of f (x). a) x+1 b) x - 2 c) x + 5

MAT 271 Lab 7 Area Under a Curve Page 1 of 8 Name ______________________________ There are several formulas from geometry that allow us to calculate areas of certain plane regions. We will develop...

1) Given the triangle below, find the measure of angle x . Round to two decimal places. Note: picture is NOT drawn to scale but x is obtuse. 0 Question 16 v 80/1 pt '0 5 Z 99 G) Details 336 Let f(33)...

1. Find the domain of the function f ( x )= x 2 x +2 1) ______ (A) D=( ,2 ) ( 2, ) (B) D=( ,2 ) (2, ) (C) D= ( 2, ) (D) D=(2, ) (E) none of the above 1 2. According to the Center for Disease Control...

Name class date Precalculus Unit 4 Practice Lesson 21-1 5. Make sense of problems. Suppose you know that cos u 5 20.25. 1. Make use of structure. Express each trigonometric function as a reciprocal...

[2) Given the matrix A = 1 3 [a) Find the characteristic polynomial and check that the eigenvalues are A, = 1 y X, = 2. )which one of them has multiplicity? (b) Determine the corresponding diagonal...

Vanderbilt University Department of Mathematics Math 1300 Fall 2015 Graded Homework 3 Due Monday, November 2, 2015 This is an open-note, open-book, take home assignment. You may work with other...

\f2 of 10 Find the values of x that are critical numbers of the function f (x) = 3x* - 1623 + 6x2 + 72x + 1. Item (1 point) Item 2 O z= -31 = -2, and z =-1 Item 3 O z = -3,1= -2, and x = 1 Item 4 O r...

The income statement of Hauser Company is presented on the shown below.? Additional information: 1. Accounts receivable decreased $290,000 during the year, and inventory increased $140,000. 2....

Contrast how wind transports sand with how wind transports dust.

What can doctors use to trigger bowel re - training?

Show that the wave function y = eb(xvt) is a solution of the linear wave equation (Eq. 16.27), where b is a constant.

(a) What is the escape speed on a spherical asteroid whose radius is 500 km and whose gravitational acceleration at the surface is 3.0 m/s2? (b) How far from the surface will a particle go if it...

Figure shows a cross section of an infinite conducting sheet carrying a current per unit x length of ; the current emerges perpendicularly out of the page.? (a) Use the Biot-Savart law and symmetry...

To approximate a function f by a quadratic function P near a number a, it is best to write P in the form P(x) = A + B(x a) + C(x a) 2, show that the quadratic function that satisfies conditions...

A three-way lightbulb can produce 50 W, 100 W, or 150 W, at 120 V. Such a bulb contains two filaments what can be connected to the 120V individually or in parallel. (a) Describe how the connections...

Which is correct Verb Types and the "Present Tense" Question 7 (1 point) What does the following sentence mean? OI play tennis. [habitual] OI will play tennis. [ future] All of the above

Suppose that Show that fa{x) is continuous at x = 0 when a > 0 and differentiable at x = 0 when a > 1. Graph these functions for a = 1 and a = 2 and give a geometric interpretation of your results....

Let a, b, c R3. a) Prove that if a, b, and c do not all lie on the same line, then an equation of the plane through these points is given by (x, y, z) d = a d, where d := (a - b) (a - c). b)...

Let V be open in Rn, a V, and f : V Rm. a) Prove that Duf(a) exists for u = ek if and only if fxk (a) exists, in which case b) Show that if f has directional derivatives at a in all directions u,...

People can be resistant to persuasion because of preexisting biases, commitments, and knowledge. They selectively attend to and evaluate information according to their original attitudes, tuning in...

People with more knowledge are more resistant to persuasion because they can counterargue messages that take a position opposite to what they know and believe.

1. A new boutique coffeehouse just opened in your neighborhood featuring coffee sustainably sourced from small organic farms around the world. Design two ads for the coffeehouse, one using the...