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Homework Statement
Find dy/dx of y=1/xlnx
Homework Equations
I thought that I'd have to use the quotient rule:
y'=vu'-uv'/v^2
However the differential of 1 is 0, so is this the right rule to use?
The Attempt at a Solution
u=1
u'=0
v=xlnx
v'=1/x
y'=vu'-uv'/v^2
y'=(xlnx*0)-(1*1/x)/(xlnx)^2
y'=-1/x(xlnx)^2
y'= -1/x^3lnx^2
But this doesn't seem right to me, I'm not sure. Any help at all would be greatly appreciated. Many Thanks.