The function f if exists, such as: f x ( x , y ) = 4 x 3 y 2 − 3 y 4 f y ( x , y ) = 2 x 4 y − 12 x y 3

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Answer 1

Question

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

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find the partial derivatives fx and fy. Please make it clear which answer is which

Both first partial derivatives of the function f(x,y) are zero at the given points. Use the second-derivative test to determine the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = - 9x + 18xy - y° +81y; (- 3, – 3), (9,9) What is the nature of the function at (- 3, - 3)? A. f(x,y) has a relative minimum at (- 3, - 3). B. f(x,y) has neither a relative maximum nor a relative minimum at (- 3,– 3). C. f(x,y) has a relative maximum at (- 3, - 3). D. The second-derivative test is inconclusive at (- 3, - 3). What is the nature of the function at (9,9)? A. f(x,y) has a relative minimum at (9,9). B. f(x,y) has neither a relative maximum nor a relative minimum at (9,9). C. f(x,y) has a relative maximum at (9,9). D. The second-derivative test is inconclusive at (9,9). O O

and z- u? + and y - u? - , find the following partial derivatives using the chain rưe. Enter your answers as functions of u and e.

Answer 2

Question

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Answer 6

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Answer 7

Chapter 8.4, Problem 40P

To determine

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

The function f if exists, such as: f x ( x , y ) = 4 x 3 y 2 − 3 y 4 f y ( x , y ) = 2 x 4 y − 12 x y 3

Solution Summary: The author explains how to find the function f if it exists, such as: lf_x(x,y

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Want to see the full answer?

Chapter 8 Solutions

The function f if exists, such as: f x ( x , y ) = 4 x 3 y 2 − 3 y 4 f y ( x , y ) = 2 x 4 y − 12 x y 3

Solution Summary: The author explains how to find the function f if it exists, such as: lf_x(x,y

To find: The function f if exists, such as: fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3

Want to see the full answer?

Chapter 8 Solutions

To find:

The function f if exists, such as:

fx(x,y)=4x3y2−3y4fy(x,y)=2x4y−12xy3