Differentiation from First Principles
a) What do you notice about the gradient of the chord as h decreases? b) What will happen as h approaches zero?
a) Explain why an expression for the gradient of the chord between the two points and b) What would happen if you let ?
Expand and simplify your expression. What happens now as
How does your answer to this compare to the conjecture you made for the gradient of in the first Geogebra investigation?