Homework Help is Here – Start Your Trial Now!
Math
Calculus
y= e²1 1+e²⁰

y= e²1 1+e²⁰

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

Can you answer #57?

**Exercise 27–76.** Calculate the derivative of the following functions.
Transcribed Image Text:**Exercise 27–76.** Calculate the derivative of the following functions.
The mathematical expression shown is: \[ y = \frac{e^{2t}}{1 + e^{2t}} \] This equation is labeled with the number 57, indicating it might be part of a list or set of problems. The expression involves an exponential function with base \( e \), which is Euler's number (approximately 2.71828). The equation described can be analyzed or solved in various contexts, such as differential equations, calculus, or modeling growth processes. It represents a fraction where the numerator is \( e^{2t} \) and the denominator is \( 1 + e^{2t} \), which is characteristic of logistic growth functions.
Transcribed Image Text:The mathematical expression shown is: \[ y = \frac{e^{2t}}{1 + e^{2t}} \] This equation is labeled with the number 57, indicating it might be part of a list or set of problems. The expression involves an exponential function with base \( e \), which is Euler's number (approximately 2.71828). The equation described can be analyzed or solved in various contexts, such as differential equations, calculus, or modeling growth processes. It represents a fraction where the numerator is \( e^{2t} \) and the denominator is \( 1 + e^{2t} \), which is characteristic of logistic growth functions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS