Question

微积分！！拜托啦大师，给点过程，帮帮忙！

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Answer 1

1. az/ax=az/au*au/ax+az/av*av/ax
   

   =2ucosv·2x-u²sinv·y

   =4x(x²＋2y²)cosxy-y(x²＋2y²)²sinxy

   az/ay=az/au*au/ay+az/av*av/ay
   

   =2ucosv·4y-u²sinv·x

   =8y(x²＋2y²)cosxy-x(x²＋2y²)²sinxy

2. az/ax=y-y/x²-1/y

   az/ay=x+1/x+x/y²

   dz=(y-y/x²-1/y)dx+(x+1/x+x/y²)dy

   a²z/axay=1-1/x²＋1/y²