What is the difference between differential and infinitesimal in advanced mathematics?
Differential is a linear description of the local variation of a function. Differential can approximately describe how the function value changes when the change of the independent variable of the function is small enough.
An infinitesimal element is a tiny unit. It is generally used in infinitesimal method of physics to discuss the limit situation that tends to zero, but the premise is that there is a limit after superposition and it is not used indiscriminately.