Question

Why is the notation startfraction dy over dx endfraction used to represent the​ derivative?

Answer 1

We know
`(dy)/(dx)` expression is used for represent the​ derivative.

Actually, derivative is the second name of " Rate of Change".

And if we read
`(dy)/(dx)`, it represents the "Rate of change of y with respect to x".

In simple words, a derivative is the rate of change or slope of a very small portion of a function.

dy represents very small change in y-coordinate and dx represents very small change in x-coordinate.

Because deriviate is the second name of " a very small rate of change".

We use
`(dx)/(xy)` to represent the​ derivative.