# If #e^x+e^y=e^(xy)# Then, dy/dx=?

##### 1 Answer

May 9, 2018

#e^x + e^y(dy/dx) = (y + x(dy/dx))e^(xy)#

#e^x + e^y(dy/dx) = ye^(xy) + xe^(xy)(dy/dx)#

#e^y(dy/dx) - xe^(xy)(dy/dx) = ye^(xy) - e^x#

#dy/dx = (ye^(xy) - e^x)/(e^y - xe^(xy))#

Hopefully this helps!