设z=e^usinv,而u=xsiny,v=xcosy,求αz/αx,αz/αy!

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设z=e^usinv,而u=xsiny,v=xcosy,求αz/αx,αz/αy!

设z=e^usinv,而u=xsiny,v=xcosy,求αz/αx,αz/αy!
设z=e^usinv,而u=xsiny,v=xcosy,求αz/αx,αz/αy!

设z=e^usinv,而u=xsiny,v=xcosy,求αz/αx,αz/αy!
z=e^usinv=e^(xsiny)sin(xcosy)
∂z/∂x=e^(xsiny)[(siny)]sin(xcosy)-e^(xsiny)cos(xcosy)[(cosy)
=e^(xsiny)[siny)sin(xcosy)-cos(xcosy)(cosy)]
同理可得:
∂z/∂y=.