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Compute the derivative f′(x)𝑓′(𝑥) of the logistic sigmoid11+e−x11+𝑒−𝑥111e−x1𝑒−𝑥0

Question

Compute the derivative f′(x)𝑓′(𝑥) of the logistic sigmoid11+e−x11+𝑒−𝑥111e−x1𝑒−𝑥0
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Solution 1

The derivative of the logistic sigmoid function f(x) = 1 / (1 + e^-x) can be computed as follows:

Step 1: Write down the function f(x) = 1 / (1 + e^-x)

Step 2: Recognize that this is a composition of functions. The outer function is f(u) = 1/u and the inner function is g(x) = 1 + e^-x.

Step 3: Co Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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