z=arctan(xy),而y=e^x,求dz/dy

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z=arctan(xy),而y=e^x,求dz/dyz=arctan(xy),而y=e^x,求dz/dyz=arctan(xy),而y=e^x,求dz/dyy=e^xx=lnyz=arctan(yln

z=arctan(xy),而y=e^x,求dz/dy
z=arctan(xy),而y=e^x,求dz/dy

z=arctan(xy),而y=e^x,求dz/dy
y=e^x
x=lny
z=arctan(ylny)
dz/dy
= 1/(1+y²ln²y) * (ylny)'
= ( lny+1 )/(1+y²ln²y)