Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Material Type: Quiz; Professor: Ellermeyer; Class: Calculus III; University: Kennesaw State University; Term: Spring 2008;
Typology: Quizzes
1 / 1
This page cannot be seen from the preview
Don't miss anything!
MATH 2203 ñQuiz 4 (Version 3) Solution March 14, 2008
For the function f (x; y) = x 4 y 2 2 xy 5 ,
verify that fxy = fyx (as promised by Clairautís Theorem).
Solution:
fx = 4x 3 y 2 2 y 5
fy = 2x 4 y 10 xy 4
and hence
fxy =
@y
4 x 3 y 2 2 y 5
= 8x 3 y 10 y 4
fyx =
@x
2 x 4 y 10 xy 4
= 8x 3 y 10 y 4 .
