API

first_derivative(f, x)	Calculate the first derivative of a scalar, univariate function.
gradient(f, x)	Calculate the gradient of a scalar, multivariate function.
jacobian(f, x)	Calculate the Jacobian of a vector, multivariate function.
second_derivative(f, x)	Calculate the second derivative of a scalar, univariate function.
hessian(f, x)	Calculate the Hessian of a scalar, multivariate function.
third_derivative(f, x)	Calculate the third derivative of a scalar, univariate function.
second_partial_derivative(f, x, y)	Calculate the second partial derivatives of a scalar, bivariate function.
partial_hessian(f, x, y)	Calculate the Hessian of a scalar function w.r.t.
third_partial_derivative(f, x, y, z)	Calculate the third partial derivative of a scalar, trivariate function.
third_partial_derivative_vec(f, x, i, j, k)	Calculate the third partial derivative of a scalar function with arbitrary many variables.
Dual64(re, eps)	Dual number using 64-bit-floats as fields.
HyperDual64(re, eps1, eps2, eps1eps2)	Hyper-dual number using 64-bit-floats as fields.
Dual2_64(eps, v1, v2)	Second order dual number using 64-bit-floats as fields.
Dual3_64(eps, v1, v2, v3)	Third order dual number using 64-bit-floats as fields.
HyperHyperDual64(re, eps1, eps2, eps3, ...)	Third order hyper dual number using 64-bit-floats as fields.