1.

If e^x+e^y=e^(x+y), find dy/dx.

Answer»

SOLUTION :`E^x_e^y=e^(x+y)=e^xe^yrArre^x/(e^xe^y)+e^y/(e^xe^y)=1rArre^-y+e^-x=1rArre^-y(-1)dy/dx+e^-x(-1)=0rArrdy/dx=(-e^-x)/(e^-y)=-e^(y-x)`


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