>>13956326The elementary theories of Calculus aren't that hard.
If you take a curve and describe it in terms of the distance of the various points on the curve to some arbitrary axis, you already got a function f(x).
If you want to know what's the tangent on the curve at point x, you would probably calculate f(x+dx)-f(x)/dx. If you have an analytical expression for f(x), then you can probably find another analytic expression for f(x+dx)-f(x)/dx. Simple algebriac manipulation gives you all the differentiation rules just as long as you assume that functions of the form f(dx^2) or f(dx)g(dx) equal 0.
Integration is just anti-differentiation.
