Copy of Definition of the Derivative

Questions to think about and discuss with your neighbor:[br]1) What is the horizontal distance between P and A? (not a number, an expression)[br]2) What is the vertical distance between P and A? (If you need a hint, click the check box)[br]3) What is the equation for the slope of the red (secant) line? Does this seem like anything we've heard of?[br]4) What happens as we let h get larger or smaller? (Use the slider at the top)[br]5) Click on the Tangent Line checkbox. What would be an expression for the slope of the Tangent Line?[br]6) So what's the whole point here?

Information: Copy of Definition of the Derivative