Find d(y)/dx by logarithmic differentiation:
y = x(ln(x))
a) d(y)/dx = ln(x)
b) d(y)/dx = x(ln(x))(ln(x)+1)
c) d(y)/dx = x(ln(x))(ln(x)-1)
d) d(y)/dx = x(ln(x))(ln(x)²)