Construction 1: Differentiation from 1st principles
Construction steps
- In the input bar type f(x)=x^2 and press enter.
- Add a New Point, A,on the curve
- In the input bar set a=x(A)
- Add a Slider: Name: h, Min: 0, Max 1, Increment 0.01.
- In the input bar add the point (a+h, f(a+h))
- Add the Line through A and B
- In the input bar set H=f(a+h)-f(a)
- In the input bar set q=H/h
- Create a Text box
- switch LaTeX formula on
- in the Advanced tab select the fraction a/b
- replace a and b with H and h from the GeoGebra objects menu
- type =
- select q from the GeoGebra objects menu