Sometimes we want something to happen so fast. We often ignore steps and jump into the destination. Though, we always undergo very unpleasant results. Why so? We are going to discuss this with mathematics today. Let’s have an elevator example. Suppose that there are two elevators you are waiting for. If the both elevators are at the same level, randomly one of them will go down and open. If the both elevators are at different leves, the nearest elevator will come down and open.
So, I will give the function of an elevator.
Y = X
Y is the level.
X is the second.
This is very simple. If you press #4, by four seconds your elevator will arrive in the level 4. Zero is the ground and negative numbers are the basement and the parking lots. This is the basic elevator equation.
Yes, let’s make the elevator faster. We are going to speed up the elevator by adding one degree. So, we will have the new function Y = XX. If you differentiate this function, you will get Y = 2X. For that reason, this new function is mathematically faster than the old one Y = X.
Let’s take a look at this new function Y = XX.
The function is very fast. At two seconds, you go to the level 4. At three second, you go to the level 9. Cool… I want to ride an elevator like this one. However, there is something funny going on. You can not go to the basement and the parking lots. The function Y = XX is always positive and as a result you will never be able to go to the basement and the parking lots. This explains that the elevator is very fast but malfunctioning.
Here is the conclusion.
Mathematically we improved the velocity (the slope) of the elevator illustrated with two functions. And we saw the result that the elevator malfunctions. If you hurry, you won’t be able to go to the basement and the parking lots. To avoid this situation, you need to work on step by step. You need to set your goal and you need to have patience. Then, you will be able to find an elevator which will be faster and function well so that you can go to the basement and the parking lots.