Find dy/dx y = (log x)x + (x)log x mention each and every formula and minute details

CBSE Class 12
1

find dy/dx
y = (log x)x + (x)log x
mention each and every formula and minute details

2

y = (logx)x + xlogx
y = u + v
u = (logx)x
Taking log on both sides,
log u = xlog(logx)
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v = xlogx
Taking log on both sides,
logv = logx × logx
logv = (logx)2
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y = u + v
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