There are really two things being done in Calculus equations, which we've understood primarily for a long time--as pi was understood using hexagons and area, which intuited to the curve of the circle, and brought us the area of a circle formula.
The first thing being done in any Calculus equation, is bits of blocks being calculated in a repeating pattern, to draw out a ratio of the curve--which will be calculated further through the rates of change and differentials--and these blocks will intuit a pattern, which divide by the entire shape, and then result in the correct answer.
The second thing being done in a calculus equation, is intuiting the area beneath a curve. Such as a x^2 parabola, is always 1/3 of the two dimensions. And in more difficult equations, the differentials and rates of change combine, to form into a curve, which then get intuited by the the first described process, to receive an area beneath the curve. As, this area can be used for any quadratic function, and its area, which possess innumerable uses as a form of logic, but always forming correct uses.
Mark 13:51Jesus saith unto them, Have ye understood all these things? They say unto him, Yea, Lord. 52Then said he unto them, Therefore every scribe which is instructed unto the kingdom of heaven is like unto a man that is an householder, which bringeth forth out of his treasure things new and old.
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