How to differentiate the weight curve?

Question

Mathematics

There are real-time weight data
On the X-axis - time (0.1 sec period)
On the Y-axis - weight (in kilograms)
It is necessary to differentiate this weight. More precisely, at each point, get the value of the angle a.

Here is everything you need . I can't count.
Let's say there are 10 points:
Time-Weight
1-10
2-15
3-95
4-380
5-390
6-370
7-208
8-62
9-12
10-3
How to calculate the angle a for each point?
On a global scale, the task looks like this: it is necessary, knowing the weight, to add records to DB:
loaded - 350 kg
unloaded - 220 kg
unloaded - 130 kg
Ideally, the records loaded and unloaded should change each other each time, i.e. there were no records in the DB "uploaded, uploaded" and "unloaded, uploaded"

Answer 1

I don’t know why you need to calculate the derivative, but if in a simple way:
there is an increment of the function: dy (weight), and an increment of the argument dx (time).
We take two points in pairs and find dy.
a (alpha) - is the tangent of the slope of the straight line (tangent), and if it is a tangent, then this is the ratio of the opposite side to the adjacent side, i.e. tan (a) = dy / dx, then a = arctan (dy / dx);
For example, for points 1->2:
tan(a) = (15-10) / 0.1 = 50;
=> a ~= arctan(50) ~= 88 deg.
For point 2 -> 3:
a = arctan((95-15)/0.1) ~= 89.92 deg
For point 3 -> 4:
a = arctan((380-95)/0.1) ~= 89.97 deg
and so on.
Only you have a time scale so small (compared to the measured weight) that the whole thing (the alpha angle) is actually always approximated by +- 90 degrees.
And I still do not understand why this corner is needed.