y = x^(√x) + ln2
y - ln2 =x^(√x)
ln(y - ln2) = √xlnx
y'/(y - ln2) = (1/2)(1/√x)lnx + √x*(1/x)
= lnx/(2√x) + 1/√x
= (lnx + 2)/√x
y' = (y - ln2)(lnx + 2)/√x
= x^(√x)*(lnx + 2)/√x