Consider z=f(x,y) where x = r*cos(theta) and y = r*sin(theta)

  • #1
Use the chain rule to show that

dz/dx = (cos(theta) * dz/dr) - (1/r * sin(theta) dz/dtheta) and

dz/dy = (sin(theta) dz/dr) + 1/r * cos(theta) dz/dtheta)

where dz/dx, dz/dr, dz/dtheta, and dz/dy and first partial derivatives.

Saw this a textbook the other day and I did not understand it.
 

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
4,306
48
The question starts with "Use the chain rule to show that dz/dx = ..."
What does the chain rule tell you about dz/dx?
 

Related Threads on Consider z=f(x,y) where x = r*cos(theta) and y = r*sin(theta)

Replies
3
Views
3K
Replies
1
Views
4K
  • Last Post
Replies
1
Views
2K
Replies
3
Views
5K
Replies
5
Views
4K
Replies
11
Views
2K
Replies
4
Views
2K
Replies
7
Views
9K
Replies
19
Views
3K
  • Last Post
Replies
3
Views
18K
Top