设z=arctany/x,求dz?

问题描述:

设z=arctany/x,求dz?

是(arctany)/x还是arctan(y/x)?如果是z=(arctany)/x,则∂z/∂x=-(arctany)/x²∂z/∂y=1/x(1+y²)∴dz=(∂z/∂x)dx+(∂z/∂y)dy=-[(arctany)/x²]dx+[1/x(1+y&...