Matinga’s Differential Calculus

Sydney Matinga
Feb 1
1 min read

Updated: 6 days ago

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Technical Note

Please observe BODMAS sequencing in all examples for the correct results. For the true set of values, tabulate the f (x) result. Graphical plotting generally will not concur as the functions are novel.

Magnitude of x

(1) f (x) = ( x ^ 1/2 ) ^ 2

Orthodox square root of x

(2) f (x) = ( x ^ 2 ) ^ 1/2

Magnitude of x, with upper limit of d/2

(3) f (x) = ( ( ( d/2 ) ^ 2 - x ^ 2 ) ^ 1/2

Magnitude of f(x), with lower limit d and upper limit of c + d /2, wi the a scalar limit of d/2. Substitute x for any equation. This is simplified differential calculus:

(4) f (x) = ( (d/2 ) ^ 2 - x ^ 2 ) ^ 1/2 + c , where c is x [min] and d/2 is x [max].