Differentiate, y=ln(xlnx)
y=ln(xlnx)y=ln(xlnx)y=ln(xlnx)
Differentiate w.r.t. x-
dydx=1xlnx(lnx+x(1x))\dfrac{dy}{dx}=\dfrac{1}{xlnx}(lnx+x(\dfrac{1}{x}))dxdy=xlnx1(lnx+x(x1))
=lnx+1xlnx=\dfrac{lnx+1}{xlnx}=xlnxlnx+1
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