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## Homework Statement

I am translating the question from another language so it might not be word to word with the original question.

assume x(s,t) and y(s,t) determined by these two functions:

sin(xt) +x+s=1

e

^{yt}+y(s+1)=1

The following function is defined H(x,y)=x

^{2}+y

^{2}-xy

such that

K(s,t)=H(x(s,t),y(s,t))

find the partial derivative K

_{t}(0,0) (the derivative of K in terms of t)

## Homework Equations

## The Attempt at a Solution

first I wanted to solve the first two equation system in terms of x and y, but it didn't work.

tried also plugging them into H, no success.

Would appreciate any help.

Roni