What does (00) mean in math?

Answer 1

Rate generally refers to the ratio of the change in a dependent variable to the corresponding change in an independent variable. This is a generalization of the concept of speed in everyday life, like the speed of a car on a road. In that case, the position of the car along the road is a function of time, so position is the dependent variable and time is the independent variable. The change in time is the duration of a time interval (like 3:00 p.m. to 3:05 p.m.), while the change in position is the distance the car travels during that interval. The instantaneous rate at a point is the limit of that rate as the intervals of time starting at that point get smaller and smaller (closer and closer to 0) and that is the definition of a derivative.