Do dx and dy mean the same thing in derivative and calculus formulas?

Yes. It means exactly the same thing.

d = differentiate = differentiatin, the original meaning is difference, and the extended meaning is differentiation.

dx is the differential with respect to , very expressive.

1. dy/dx, domestic teachers generally do not like this way of writing, because they are lazy and give students a lot of misleading

until they learn differential equations. Caixin is used reluctantly, and is usually just written as y'.

2. There is nothing wrong with writing it as y’. It is completely equivalent to dy/dx, and it is also completely equivalent to (d/dx)y, but it is written too much.

Some students have lost their understanding of its original meaning. This situation is common among liberal arts students.

3. Although dy/dx is a differential ratio, it is only a conceptual matter. In specific problems, as long as y is given, dy/dx will be concrete. The functional form of , we call this functional form the derivative, which is the derivative function.

We call the derivative function simply the derivative, and the value of the derivative function is also vaguely called the derivative.

Therefore, dy/dx is a derivative, a derivative function, that is to say, y' is a derivative, a derivative function;

dy is the differential of y, this is only conceptual General differential concept;

dy = (dy/dx) dx = y' dx is a specific expression for the differential of y written according to a specific functional form.

The exact form of dy/dx must be determined by the form of y.