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An Universal Formula to Compute the Higher-Order Derivative and the Primary Function of Special Kinds of Functions

Cheng Li

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Abstract

In this paper, the higher order derivative and the primary function of several special kinds of function are investigated, we then obtain the characteristic of those functions and it's primary function. On the basis of this characteristic, we can quickly write out any order derivative y (n) including the primary function y (-1) according to an universal formula (n=-1,1,2,3,…) . This formula can simplify some particular computation.

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What this paper is about

In this paper, the higher order derivative and the primary function of several special kinds of function are investigated, we then obtain the characteristic of those functions and it's primary function. On the basis of this characteristic, we can quickly write out any order derivative y (n) including the primary function y (-1) according to an universal formula (n=-1,1,2,3,…) . This formula can simplify some particular computation.

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Available abstract

In this paper, the higher order derivative and the primary function of several special kinds of function are investigated, we then obtain the characteristic of those functions and it's primary function. On the basis of this characteristic, we can quickly write out any order derivative y (n) including the primary function y (-1) according to an universal formula (n=-1,1,2,3,…) . This formula can simplify some particular computation.

Key concepts: Mathematics, Derivative (finance), Function (biology), Order (exchange), Primary (astronomy), Computation, Applied mathematics, Pure mathematics

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