# Pts Let f x, y = x 2 y 2 Find f y a, b using the limit...

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Chapter 10 / Exercise 5
Exploring Microeconomics
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Math for Economics 1 (Math-UA-211) Spring 2016 Homework 10 Solution Due: Friday, April 29 at the start of class Give complete , well-written solutions to the following exercises. Make sure to write your name and discussion section number, and to staple your solution. 1. (4 pts) Let f ( x, y ) = x 2 y 2 . Find f y ( a, b ) using the limit definition of the partial deriva- tive with respect to y .
2. (3 pts) Let f ( x, y ) = x - y . Find f x (2 , 1) using the limit definition of the partial derivative with respect to x .
3. (3 pts) Find f x ( x, y ) if f ( x, y ) = (1 + ln( x ) + y 2 ) xy .
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Chapter 10 / Exercise 5
Exploring Microeconomics
Sexton Expert Verified
Math for Economics 1 (Math-UA-211) Spring 2016 1 z ∂z ∂x = y ln(1 + ln( x ) + y 2 ) + y 1 + ln( x ) + y 2 , ∂z ∂x = ( 1 + ln( x ) + y 2 ) xy h y ln(1 + ln( x ) + y 2 ) + y 1 + ln( x ) + y 2 i . 4. (3 pts) Let f ( x, y ) = ye x . Draw the level curves f ( x, y ) = c for c = - 1 , 0 , 1.
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