• Support PF! Buy your school textbooks, materials and every day products Here!

Solve first order partial derivatives

  • #1
9
0

Homework Statement


Use the Chain Rule to find the 1. order partial derivatives of g(s,t)=f(s,u(s,t),v(s,t)) where u(s,t) = st & v(s,t)=s+t
The answer should be expressed in terms of s & t only.

I find the partial derivatives difficult enough and now there is no numbers in the problem, which confused me even more. Hopefully someone here can help me with how to solve this.

Homework Equations


g(s,t)=f(s,u(s,t),v(s,t)) where u(s,t) = st & v(s,t)=s+t

The Attempt at a Solution


(I have no idea what to do with this problem)
 

Answers and Replies

  • #2
963
213
(I have no idea what to do with this problem)
Partial derivatives are defined as derivatives of a function of multiple variables when all but the variable of interest are held fixed during the differentiation.
so calculate the partial derivatives with respect to s, and u and v whwere the partial derivative with respect to s will be taken when u.v are lept constant and in turn for the other two.
 

Related Threads on Solve first order partial derivatives

Replies
1
Views
6K
Replies
2
Views
6K
Replies
5
Views
10K
  • Last Post
Replies
2
Views
721
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
4
Views
10K
  • Last Post
Replies
1
Views
767
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
17
Views
2K
Top