How Newton and Leibniz influenced the development of calculus negatively.

In this video, I share some details of my work never shared with the public before. I also discuss how Newton and Leibniz affected the development of calculus negatively by choosing to use rise/run, rather than arctan(rise/run) whence all lines have well-defined slopes, meaning that derivative functions are defined everywhere using the same abscissa as the antecedent function and the y ordinate being the slope in radian measure. Thus, if the antecedent function is f, then the derivative f '(x) is given by:

( x, angle measure in radians of tangent line incline )

Some details of the theory are described, such as the graphing or solution space of all derivative functions (-π/2, π/2).

In certain instances, the solution space is much smaller, for example, the normal distribution function. There is also a very special formula to determine the solution space of every derivative function exactly which I choose not to share.

Link to applet used:

A general formula for ALL function derivatives:

How this formula fixes the mainstream definite integral definition:

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