In the previous activity we looked at how to find the gradient of a function at a point. Now we will try and generalise this for a function. [br][br]We will look again at the quadratic function [math]y=x^2[/math]. We have already seen that we can pick an x-value (for example x=1) and find the tangent at this point but we may want to find the tangent in general. [br][br]When we do this instead of getting a single value for gradient we will find the gradient function. A function into which we can substitute any x-value and find the gradient of the corresponding tangent.[br][br]In the activity below, you can experiment with changing [i]h[/i] and observe the dotted green line (an approximation to the tangent) at different points. See if you can find the [b]gradient function[/b] for the quadratic [math]y=x^2[/math].