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