derivative calculator

calculators operate in digital numbers
the derivative is a numeric proportion or rate
calculators can specify derivatives by digital numbers

By adding another number to each precise-real number - infinitesmals, rather than complex imaginary-parts - we can have calculators compute derivatives: the second number is the slope at the precise-real number, thus sin(pi/2) = 1.0000000000 , and its second number, its derivative, is 0.0000000000 = cos(pi/2) .

Calculations can follow the derivative chain-rules, eg. for finitesmal a,b and infinitesmals d,e representing their corresponding [cumulated] slopes

Although this accommodates only common single-parametrized variables, each calculation can be re-done with adjustments to identify sensistivity to other parameters.

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