What are some potential libraries or frameworks available for calculating the first derivative of a mathematical function in PHP?

Calculating the first derivative of a mathematical function in PHP can be achieved using libraries or frameworks that provide mathematical functionalities. One popular library for this purpose is the Math PHP library, which offers a wide range of mathematical functions, including differentiation. By utilizing this library, developers can easily compute the first derivative of a given function in PHP.

// Using the Math PHP library to calculate the first derivative of a mathematical function
require_once 'vendor/autoload.php';

use MathPHP\Calculus\Derivative;

// Define the mathematical function
$function = function ($x) {
    return $x**2 + 2*$x + 1;
};

// Calculate the first derivative of the function at a specific point
$derivative = Derivative::limit($function, 1);

echo "The first derivative of the function at x = 1 is: " . $derivative;