How to understand calculus in an hour

I just ran across this simple explanation by Miles Mathis of what calculus really is.  It is quite simple, even if the author is a bit long winded and self congratulatory.  Check it out.

Here's a TL;DR extract of the important bit.  Please note that everything is a length, not just a point or a number.

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1            Δz           1, 2, 3, 4, 5, 6, 7, 8, 9….
2           Δ2z            2, 4, 6, 8, 10, 12, 14, 16, 18….
3            Δz²           1, 4, 9, 16, 25, 36, 49 64, 81
4            Δz³           1, 8, 27, 64, 125, 216, 343
5            Δz⁴            1, 16, 81, 256, 625, 1296
6            Δz⁵            1, 32, 243, 1024, 3125, 7776, 16807
7            ΔΔz           1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
8            ΔΔ2z            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
9            ΔΔz²           1, 3, 5, 7, 9, 11, 13, 15, 17, 19
10            ΔΔz³            1, 7, 19, 37, 61, 91, 127
11            ΔΔz⁴            1, 15, 65, 175, 369, 671
12            ΔΔz⁵            1, 31, 211, 781, 2101, 4651, 9031
13            ΔΔΔz            0, 0, 0, 0, 0, 0, 0
14            ΔΔΔz²            2, 2, 2, 2, 2, 2, 2, 2, 2, 2
15            ΔΔΔz³            6, 12, 18, 24, 30, 36, 42
16            ΔΔΔz⁴            14, 50, 110, 194, 302
17            ΔΔΔz⁵           30, 180, 570, 1320, 2550, 4380
18            ΔΔΔΔz³            6, 6, 6, 6, 6, 6, 6, 6
19            ΔΔΔΔz⁴            36, 60, 84, 108
20            ΔΔΔΔz⁵            150, 390, 750, 1230, 1830
21            ΔΔΔΔΔz⁴           24, 24, 24, 24
22            ΔΔΔΔΔz⁵           240, 360, 480, 600
23            ΔΔΔΔΔΔz⁵            120, 120, 120
      from this, one can predict that
24            ΔΔΔΔΔΔΔz⁶           720, 720, 720
     And so on.

Again, this is what you call simple number analysis. It is a table of differentials. The first line is a list of the potential integer lengths of an object, and a length is a differential. It is also a list of the integers, as I said. After that it is easy to follow my method. It is easy until you get to line 24, where I say, “One can predict that. . . .” Do you see how I came to that conclusion? I did it by pulling out the lines where the differential became constant.
7      ΔΔz       1, 1, 1, 1, 1, 1, 1
14       ΔΔΔz²      2, 2, 2, 2, 2, 2, 2
18       ΔΔΔΔz³      6, 6, 6, 6, 6, 6, 6
21       ΔΔΔΔΔz⁴       24, 24, 24, 24
23       ΔΔΔΔΔΔz⁵       120, 120, 120
24       ΔΔΔΔΔΔΔz⁶       720, 720, 720

Do you see it now?
2ΔΔz = ΔΔΔz²
3ΔΔΔz² = ΔΔΔΔz³
4ΔΔΔΔz³ = ΔΔΔΔΔz⁴
5ΔΔΔΔΔz⁴ = ΔΔΔΔΔΔz⁵
6ΔΔΔΔΔΔz⁵ = ΔΔΔΔΔΔΔz⁶

All these equations are equivalent to the magic equation, y’ = nx^n-1. In any of those equations, all we have to do is let x equal the right side and y’ equal the left side. No matter what exponents we use, the equation will always resolve into our magic equation.

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