A library to calculate derivatives of mathematical equations, written and usable in C++, as well as any derived langauges (D).
This is derivatives in the calculus sense.
The function uses a variadic function (va_list) to be able to work with polynomials of any degree, and only can do the power rule on positive integer terms.

All code is in the derive.h file, which can be included with the simple

#include "derive.h"

The function is called derive(degree, ...)
The mathematical equation must be expressed in coefficient form, which may not work for all equations.
This means that for the equation 3x² + 234x + 45, it is already in coefficient form, because it is ax² + bx + c.
The function returns a string containing the full function.
The example below is for the functions 3x² + 9x + 43 and 9x⁵ + 4x³ + 3x² + 4x, relatively.

// 3x^2 + 9x + 43 (2nd degree equation)
derive(2, 3, 9, 43);

// 9x^5 + 4x^3 + 3x^2 + 4x (5th degree equation)
derive(5, 9, 0, 4, 3, 4)

// In general:
derive(degree, a, b, c, ...);

The function will not work with any decimals, both in the coeffients and the exponents, and will not work with negative exponents.

• Work with decimal (float) coefficients
• Work with negative exponents
• Work with decimal exponents
• Work with forms other than coefficient form