How do you differentiate #1=(xy)/(e^x+xy)#?

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Answer 1 · 2016-11-16T11:50:05

There is no derivative since the domain is empty.

Given:

#1 = (xy)/(e^x+xy)#

Multiply both sides by #e^x+xy# to get:

#e^x + xy = xy#

Subtract #xy# from both sides to get:

#e^x = 0#

There is no value of #x# which satisfies this and so the domain is empty.