Of course LLMs probably have sparked an interest in calculus. I have dusted of decades old knowledge, relearning the difference between a d and a δ, or what is df/dx ln(x).
Since this may be a misunderstanding, and it's very common among my students, let me suggest that you almost certainly mean df/dx, where f(x) = ln(x); or d(ln(x))/dx; or (d/dx)(ln(x)). All of these indicate taking the derivative of ln(x) with respect to x (which is 1/x). df/dx ln(x) would be the product of the derivative of some unspecified function f with ln(x).