I only ask this because of the fact that economists tend to plot the dependent variable on the horizontal axis and the independent variable on the vertical, which is opposite to the "normal" way of doing things in math. This leads to the question of how to quantify the slope of a linear function when normally (in basic math) it is
$$\frac{\Delta y}{\Delta x}=\frac{rise}{run}$$
but in economics you'd find the same variables reversed:
$$\frac{\Delta x}{\Delta y}=\frac{run}{rise}$$
The terms independent/dependent variables are used too loosely in mathematics.
The differentials you listed are simply different ways of looking at something.
Take an economics graph and turn it 90 degrees, 180 degrees..
It will still give you the same information, it's just a different perspective.