Given the quadratic function in blue and the line tangent to the curve at A in red, move point A and investigate what happens to the gradient of the tangent line.

1. What value represents the gradient of the tangent line?[br][br]2. What is the gradient of the tangent line at x = 0.5?[br][br]3. What is the significance of your answer to question 2?[br][br]4. The equation of the curve is [math]f(x)=x^2-x-2[/math], what is the first derivative of the function?