- #1

racer

- 39

- 0

I know that derivative of a function is the tangent to it's curve and that is the limit of the function as H goes to zero but I still can not understand what it means?

For example let's say F(x)=x^2 and F(x) is a function of a fighter jet plane speed, I know that if I take the slope of the secant line that passes through two points of the fighter jet speed, I'd get the average speed between two points, my question is whose value is the tangent? I read that it is the instaneous rate of change at the point itself rather than the average rate between two point, why it is not considered to be an average speed between two points and the second one is zero. what is the difference between X^2 and it's derivative 2x?

Thanks