Differentiate the following functions with respect to x :
ex log x
Let y = ex log x
Taking log both the sides:
⇒ log y = log (e)x log x
⇒ log y = x log x log e {log xa = alog x}
⇒ log y = x log x {log e = 1}
Differentiating with respect to x:
Put ex log x :
{ elog a = a; alog x = xa}