Question: How to derive a derivative like this?

February 04 2014 cuttlas 10

1

 

 

 

I have equation like :

 

 

 

Now I compute second derivative of F respect to x( u and w are functions of x,y):

 

 

 

I must change variables x and y so define them as function of r and s:

 

 

 

And my problem is I want change partial derivative of F respect to x to partial derivative of f respect to r and s. Can anybody help me ?

 

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