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Tessero\Differentiate\Derivative

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derivative static 
derivative(callable $f, float $x, ?float $atol = null, ?float $rtol = null, int $maxiter = 10, int $order = 8, float $initialStep = 0.5, float $stepFactor = 2.0): array

d/dx f(x) by adaptive central finite differences.

jacobian static 
jacobian(callable $f, array $x, ?float $atol = null, ?float $rtol = null, int $maxiter = 10, int $order = 8, float $initialStep = 0.5, float $stepFactor = 2.0): array

Jacobian of f: R^m -> R^k, evaluated at the point $x (length m). Returns a k-by-m array.

hessian static 
hessian(callable $f, array $x, ?float $atol = null, ?float $rtol = null, int $maxiter = 10, int $order = 8, float $initialStep = 0.5, float $stepFactor = 2.0): array

Hessian of a scalar function f: R^m -> R at the point $x. Returns an m-by-m array of second partials, computed as the Jacobian of the numerical gradient.