And this idea is the central idea of differential calculus and its known as a derivative the slope of the tangent line which you could also view as the instantaneous rate of change. Simplify more divide through by Dx. This measures how quickly the position of the.
Derivatives are named as fundamental tools in Calculus.
The slope of a constant value like 3 is always 0. In other words the slope at x is 2x. Frac f x_0Delta x-f x_0 Delta x Dxf x0. 2x Dx Dx2 Dx.