[color=#0][br]Use the blue sliders to change the coefficients of the quadratic.[br]Use the orange slider to move the point.[br][/color]

[color=#0]Note the value of x and the gradient of the tangent, which you can take from its equation.[br]Try a few different points and see how the gradient varies with x.[br]Try to establich a rule that connects the x-value and the gradient.[br]Now try a different quadratic function and repeat.[br]What is the rule for working out the gradient for a general quadratic function [math]y=ax^2+bx+c[/math][/color]