Use the p slider to reduce the size of the chord, each step shrinks the horizontal distance by a factor of ten.[br][br]What do you notice about the value of the gradient chord m?[br][br]Try other base points A
Using the chord approximation to the tangent write down the gradient of the tangent to [math]y=x^2[/math]at the following points:[br](1,1)[br](2,4)[br](3,9)[br][br]Do you notice any relationships between the co-ordinates of the point and your answers?
Try editing the function f(x) to be [math]x^3[/math] (HINT type x^3) [br][br]Explore the value of the gradient at the points below but using the chord approximation to the tangent.[br](1,1)[br](2,8)[br](3,27)[br][br]Do you notice a relationship between the co-ordinates of your point and your answer