How do you find the derivative of #e^(2y)#?

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Answer 1 · 2016-11-29T08:29:50

#dy/dx=1/(2x)# Assuming: #x=e^(2y)#

This queston is somewhat ambigious as is does not state the variable which we are to find the derivitive with respect to.

I will assume: #x=e^(2y)# and that we are seeking #dy/dx#

#x=e^(2y)#

#lnx = 2y#

#y=1/2lnx#

#dy/dx = 1/2*1/x = 1/(2x)#

NB: If the question was intended to be: #d/dy[e^(2y)]# the result would have been: #2e^(2y)#