Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**5.2 Compute the Derivative \( f'(x) \) of the Logistic Sigmoid**
The logistic sigmoid function is defined as:
\[
f(x) = \frac{1}{1 + \exp(-x)}
\]
In this section, we aim to compute the derivative of this function, denoted as \( f'(x) \). The logistic sigmoid function is commonly used in neural networks and logistic regression due to its property of mapping any real-valued number into the (0, 1) interval, making it a smooth approximation of a step function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb118f15c-7f61-4bce-a3ea-8d5481c22032%2F9a09a2e3-3b84-4347-8d3e-278382f05fe2%2F5jtflw_processed.png&w=3840&q=75)
Transcribed Image Text:**5.2 Compute the Derivative \( f'(x) \) of the Logistic Sigmoid**
The logistic sigmoid function is defined as:
\[
f(x) = \frac{1}{1 + \exp(-x)}
\]
In this section, we aim to compute the derivative of this function, denoted as \( f'(x) \). The logistic sigmoid function is commonly used in neural networks and logistic regression due to its property of mapping any real-valued number into the (0, 1) interval, making it a smooth approximation of a step function.
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