Why does the derivative of a movement equation equals the velocity?

Question

I have no problem with the exercises, but I can’t wrap my head around the concept

In: Mathematics

Answer 1

“The rate of change of a function” is the definition of a derivative. You might as well ask “Why does the circumference of a circle equal the length of the edge of the circle?”

For a curve like a position equation, the slope at any given point is equal to how fast the position is changing. The speed of a change in position is called “velocity.”