Leibnitz's Theorem
Leibnitz's Theorem
Nth derivative
You don't need a poll, or to worry about whether to use "Leibniz's theorem", just start differentiating!
The derivative of x ln(x) is, using the chain rule, ln(x)+ x(1/x)= ln(x)+ 1.
The second derivative is 1/x.
The third derivative is -1/x^2.
The fourth derivative is 2/x^3.
The fifth derivative is -6/x^4.
What is the general nth derivative?