Welcome, Guest
User registration
Login

Service
How to use
Sample calculation
Smartphone
Japanese

Life
Education
- Mathematics
- Science
Professional
Shared
Private
Column
Advanced Cal

Derivative Sigmoid function Calculator

Home

/ Special Function
/ Activation function

Calculates the derivative sigmoid function s'_a(x).

The sigmoid function is used in the activation function of the neural network.


a(gain)
x

\(
\normalsize Sigmoid\ function\ \varsigma_{\alpha}(x)\\
\varsigma_{\alpha}(x) = \large \frac{1}{1+e^{-\alpha x}} = \large \frac {\tanh(\alpha x /2) + 1}{2}\\
\normalsize \varsigma '_{\alpha}(x) = \alpha \varsigma_{\alpha}(x) \{ 1 - \varsigma_{\alpha}(x) \} \\
\normalsize \varsigma ''_{\alpha}(x) = \alpha^{2} \varsigma_{\alpha}(x) \{ 1- \varsigma_{\alpha}(x) \} \{ 1 - 2 \varsigma_{\alpha}(x) \} \\
\)

Related links

Softmax function

tanh(x) function

Customer Voice
Questionnaire
FAQ

Derivative Sigmoid function

[1-1] /1

Disp-Num

Purpose of use: AI learning

Thank you for your questionnaire.
Sending completion

To improve this 'Derivative Sigmoid function Calculator', please fill in questionnaire.

Male or Female ?: MaleFemale

Age: Under 20 years old20 years old level
30 years old level40 years old level
50 years old level60 years old level or over

Occupation: Elementary school/ Junior high-school student
High-school/ University/ Grad studentA homemakerAn office worker / A public employee
Self-employed peopleAn engineerA teacher / A researcherA retired personOthers

Useful?: VeryUseful
A little Not at All

Purpose of use?

Comment/Request (Click here to report a bug).Bug report (Click here to report questionnaire.）
Calculation bug(Please enter information such as specific input values, calculation result, correct result, and reference materials (URL and documents).)
Text bug(Please enter information such as wrong and correct texts)

Your feedback and comments may be posted as customer voice.

The hyperlink to [Derivative Sigmoid function]: <a href="https://keisan.casio.com/exec/system/15157249643425">Derivative Sigmoid function Calculator</a>

Bookmarks

History

Related Calculator

Sigmoid function

Derivative Sigmoid function

Second Derivative Sigmoid function

Sigmoid function (chart)

Softsign function

Derivative Softsign function

Softsign function (chart)

Softplus function

Derivative Softplus function

Softplus function (chart)

Softmax function

tanh(x) function

Derivative tanh(x) function

Second Derivative tanh(x) function

tanh(x) function (chart)

Home

/ Special Function
/ Activation function

To the top of this page

Privacy Notice
Cookie Policy
Terms of use
FAQ
Contact us

© 2019 CASIO COMPUTER CO., LTD.