The concept of limit, although very useful to replace a point, however, has a range of defects: in fact, using the concept of limit to a point I can have only a local view of a function: it 's like I wanted to study a road at night taking advantage of the light of any lamp: it can 'see at that point and close to that point but if you want to know what's going on a bit' more 'in the' should 'have another lamp.
We need something that allows us to see the function in its entirety and that something will be 'the derivative;
-------------------------- -------------------------------------------------- ----
Imagine having a function and a point on the x-axis which corresponds to a point y axis, if we think that the point on the x axis moves with regularity 'The Heart' on the y axis?
I'll see 'that the point on the y axis should be more' fast or slower depending on the slope of the function:
if you look at the picture on the right arrows to see that the same x-axis are different arrows on the y axis and this' due to speed 'with which they aggregate the points on y with respect to points on the x
Before the function (the point on the y axis corresponding to x) falls rapidly then gradually slows down the speed' to a stop where there is' the minimum and then change direction and speed takes 'going up
If now we are able to express how changes of speed' to vary the point on the x-y on a regular basis we will have something that will allow us to 'see the whole function and not just a small part as in the case of the limit.
now is to express this concept mathematically:
How does the point on the y axis when the point x moves regularly?
0 comments:
Post a Comment