(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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)

2. Relevant equations

3. 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 in to H, no success.

Would appreciate any help.

Roni

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# Homework Help: Multi Calculus- Partial Derivatives

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