sigmoid_derivative

sigmoid_derivative, an Octave code which evaluates derivatives of any order for the sigmoid function s(x)=1/(1+exp(-x)).

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

sigmoid_derivative is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

sigmoid_derivative_test

polpak, an Octave code which evaluates a variety of mathematical functions, polynomials, and sequences, including Bell, Benford, Bernoulli, Bernstein, Cardan, Catalan, Charlier, Chebyshev, Collatz, Delannoy, Euler, Fibonacci, Gegenbauer, Gudermannian, Harmonic, Hermite, Hofstadter, Hypergeometric 2F1, Jacobi, Krawtchouk, Laguerre, Lambert W, Legendre, Lerch, Meixner, Mertens, Moebius, Motzkin, Phi, Stirling Numbers, Tau, Tribonacci, Zernike.

Reference:

Reference:

1. Joe McKenna,
   Derivatives of the sigmoid function,
   https://joepatmckenna.github.io/calculus/derivative/sigmoid%20function/linear%20albegra/2018/01/20/sigmoid-derivs/

Source Code:

• sigmoid_derivative_coef.m returns the coefficients in an expansion of the n-th derivative of the sigmoid function in terms of a polynomial in the value of the sigmoid function itself.
• sigmoid_derivative_value.m evaluates the n-th derivative of the sigmoid function at a point x.