z=x*arctan(xy),求(dz/dx)|(1,1),(dz/dy)|(1,1)

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z=x*arctan(xy),求(dz/dx)|(1,1),(dz/dy)|(1,1)z=x*arctan(xy),求(dz/dx)|(1,1),(dz/dy)|(1,1)z=x*arctan(xy)

z=x*arctan(xy),求(dz/dx)|(1,1),(dz/dy)|(1,1)
z=x*arctan(xy),求(dz/dx)|(1,1),(dz/dy)|(1,1)

z=x*arctan(xy),求(dz/dx)|(1,1),(dz/dy)|(1,1)
dz/dx=arctan(xy)+xy/[1+(xy)^2]
(dz/dx)|(1,1)=π/4+1/2
(dz/dy)|(1,1)=x^2/[1+(xy)^2]=1/2

dz/dx=arctan(xy)+xy/[1+(xy)^2]
(dz/dx)|(1,1)=π/4+1/2
(dz/dy)|(1,1)=x^2/[1+(xy)^2]=1/2