In MATLAB, the operator "./" represents element-wise division, allowing for the division of corresponding elements in two arrays or vectors. For example, using "x = [1:10]" and "y = [1:0.5:5]", the expression "x ./ y" divides each element of x by the corresponding element of y. To take the derivative of an experimental plot in MATLAB, the "diff" function can be used to compute the differences between consecutive data points, which can then be divided by the differences in the x-values to approximate the derivative. For integration, the "trapz" function is commonly used for numerical integration of data points. To subtract two experimental plots, the same element-wise division operator "./" can be applied, allowing for the subtraction of corresponding elements in two datasets.