Khumalo Derivative

The Khumalo Derivative is a mathematical derivative that uses a differentiation technique that for any polynomial X , where n > 1 is more accurate than the traditional derivative for continuous functions. See []
Says because each n is different in a polynomial function ƒ(X) = X , there can be no general rule for the derivative. To say, ƒ′(X), the mathematical derivative, is equal to nX , is to over generalize, and assume that for every n, the polynomial behaves the same.
The Khumalo Derivative, kd, ƒ′<sub>k</sub>(X), refutes the general rule ƒ′(X) = nX except for a linear function. Each derivative of the polynomial must become more complex including properties from polynomials of a lesser degree. The kd is given as:
ƒ′<sub>k</sub>(X) = ƒ′(X) - ƒ′<sub>k</sub>(Xn-1) - R.
R is defined as the residual created by ∑(X → X) and R can always be solved.
For example, given ƒ(X) = X, the kd is the same as traditional derivative as there can be no ƒ′<sub>k</sub>(X ) or R.
Given ƒ(X) = X , ƒ′<sub>k</sub>(X ) does exist, and the kd begins to deviate from the traditional derivative. Instead of 2X the kd is 2X - 1.
Given ƒ(X) X , traditional derivative would be 3X , following the rule that the derivative, ƒ′(X) nX . The kd is markedly different at 3X - 3X + 1.
Given ƒ(X) = X , traditional derivative would be 4X , the kd on the other hand is 4X - 6X + 4X - 1.
The kd can be found in the paper "revisiting the rate of change" a paper written by Bhekuzulu Khumalo and the paper "The Variable Time: Crucial to Understanding Knowledge Economics"
If you did not know that the accurate function determining the rate of change for a function defined as X is 3X - 3X + 1 rather than 3X , then read the references before rushing to discredit something. The problem with the khumalo derivative has absolutely nothing to do with mathematics per se, it is strictly a racial issue, and that being the case, let blacks, Indians, Chinese, Asians read it, whites do not have to, and it is understandable and as simple as that. The world can not be always begging a white for approval even when we are right but not white.
A bone of contention with conservative white academia is why Bhekuzulu Khumalo named the derivative after himself, ignoring the fact that the methodology is correct. Khumalo discovered the methodology whilst researching how knowledge affects the internal time of different societies.
Bhekuzulu Khumalo understands the western mindset, especially when he was told not to include a unit for knowledge, blacks must just read theory from whites and apply it, implying if it is wrong a white person must fix it. The worst of course was when he was told it does not matter if you are right, your work will be read when you are dead, you are black. He understands the irrational fear of whites who need to claim they are the source of all theory, that is how one dominates a world culturally, therefore in most cases naming a differentiation process is not acceptable right or wrong, With the derivative, sorry, Newton was mostly wrong when it came to the polynomial, anybody who understands knowledge can easily know why, the techniques was not there at the time, even though the Khumalo derivative is a far stronger derivative for polynomials with a degree higher than 1, it is just more difficult, and the technique eluded westerners and it understandable that they are upset.
Bhekuzulu Khumalo is a knowledge economist who also gave knowledge its unit, the knowl.
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