Notation for differentiation

Differentiation is a way of finding out how quickly something changes. To do this, we use a special notation or language. Differentiation uses symbols such as "+", "-", "*", and "/" to represent doing math. The symbol "d" is used to mean "change" and the symbol "/" is used to mean "divide". We also use other symbols, such as "x" and "y", which represent the things we are finding out about. For example, if we want to find out how fast x is changing, we would write:

d/dx (x).

This means "change x divided by x". To find out how fast y is changing, we would write:

d/dy (y).

This means "change y divided by y". We can also use this notation to figure out how quickly a combination of things is changing. For example, if we wanted to find out how quickly xy is changing, we would write:

d/dx (xy).

This means "change xy divided by x".