Explanation Given: Given the functions g ( x ) = e − x 4 ...... ( 1 ) Calculation: Given the functions g ( x ) = e − x 4 To find the critical points, differentiate the given function with respect to x and equate it’s to zero. g ' ( x ) = e − x 4 d d x ( − x 4 ) g ' ( x ) = − 4 x 3 e − x 4 g ' ( x ) = 0 − 4 x 3 e − x 4 = 0 x = 0 Therefore, there is only one critical point exists x = 0 . Now find the inflection points Find the second derivative of the given function and equate it’s to zero. g " ( x ) = − 4 [ x 3 d d x ( e − x 4 ) + ( e − x 4 ) d d x ( x 3 ) ] g " ( x ) = − 4 [ x 3 ( − 4 x 3 e − x 4 ) + ( e − x 4 ) ( 3 x 2 ) ] g " ( x ) = − 4 [ − 4 x 6 e − x 4 + 3 x 2<

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

3rd Edition

ISBN: 9780840064189

Author: Frederick R. Adler

Publisher: Cengage Learning

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Question

Chapter 2, Problem 24SP

To determine

The critical points and point of inflection of the following function and sketch the graph also.

g(x)=e−x4

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Chapter 2, Problem 23SP

Chapter 2, Problem 25SP

Chapter 2 Solutions

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - 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Prob. 22E Ch. 2.3 - Prob. 23E Ch. 2.3 - Prob. 24E Ch. 2.3 - Prob. 25E Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - Prob. 28E Ch. 2.3 - Prob. 29E Ch. 2.3 - Prob. 30E Ch. 2.3 - Prob. 31E Ch. 2.3 - Prob. 32E Ch. 2.3 - Prob. 33E Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - Prob. 39E Ch. 2.3 - Prob. 40E Ch. 2.3 - Prob. 41E Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - Prob. 44E Ch. 2.3 - Prob. 45E Ch. 2.3 - Prob. 46E Ch. 2.3 - Prob. 47E Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.4 - Prob. 5E Ch. 2.4 - Prob. 6E Ch. 2.4 - Prob. 7E Ch. 2.4 - Prob. 8E Ch. 2.4 - Prob. 9E Ch. 2.4 - Prob. 10E Ch. 2.4 - Prob. 11E Ch. 2.4 - For each of the following quadratic functions,...Ch. 2.4 - Prob. 13E Ch. 2.4 - Prob. 14E Ch. 2.4 - Prob. 15E Ch. 2.4 - Prob. 16E Ch. 2.4 - Prob. 17E Ch. 2.4 - Prob. 18E Ch. 2.4 - Prob. 19E Ch. 2.4 - Prob. 20E Ch. 2.4 - Prob. 21E Ch. 2.4 - Prob. 22E Ch. 2.4 - Prob. 23E Ch. 2.4 - 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Prob. 36E Ch. 2.5 - Prob. 37E Ch. 2.5 - Prob. 38E Ch. 2.5 - Prob. 39E Ch. 2.5 - An object tossed upward at 10m/s from a height of...Ch. 2.5 - Prob. 41E Ch. 2.5 - Prob. 42E Ch. 2.5 - Prob. 43E Ch. 2.5 - Prob. 44E Ch. 2.5 - Prob. 45E Ch. 2.5 - Prob. 46E Ch. 2.5 - Prob. 47E Ch. 2.6 - Prob. 1E Ch. 2.6 - Prob. 2E Ch. 2.6 - Prob. 3E Ch. 2.6 - Prob. 4E Ch. 2.6 - Prob. 5E Ch. 2.6 - Prob. 6E Ch. 2.6 - Prob. 7E Ch. 2.6 - Prob. 8E Ch. 2.6 - Prob. 9E Ch. 2.6 - Prob. 10E Ch. 2.6 - Prob. 11E Ch. 2.6 - Prob. 12E Ch. 2.6 - Prob. 13E Ch. 2.6 - Prob. 14E Ch. 2.6 - Prob. 15E Ch. 2.6 - Prob. 16E Ch. 2.6 - Prob. 17E Ch. 2.6 - Prob. 18E Ch. 2.6 - Prob. 19E Ch. 2.6 - Prob. 20E Ch. 2.6 - Prob. 21E Ch. 2.6 - Prob. 22E Ch. 2.6 - Prob. 23E Ch. 2.6 - Prob. 24E Ch. 2.6 - Prob. 25E Ch. 2.6 - Prob. 26E Ch. 2.6 - Prob. 27E Ch. 2.6 - Prob. 28E Ch. 2.6 - Prob. 29E Ch. 2.6 - Prob. 30E Ch. 2.6 - Prob. 31E Ch. 2.6 - Prob. 32E Ch. 2.6 - Prob. 33E Ch. 2.6 - Prob. 34E Ch. 2.6 - Prob. 35E Ch. 2.6 - Prob. 36E Ch. 2.6 - Prob. 37E Ch. 2.6 - Prob. 38E Ch. 2.6 - Prob. 39E Ch. 2.6 - Prob. 40E Ch. 2.6 - Prob. 41E Ch. 2.6 - Prob. 42E Ch. 2.7 - Prob. 1E Ch. 2.7 - Prob. 2E Ch. 2.7 - Prob. 3E Ch. 2.7 - Prob. 4E Ch. 2.7 - Prob. 5E Ch. 2.7 - Prob. 6E Ch. 2.7 - Prob. 7E Ch. 2.7 - Prob. 8E Ch. 2.7 - Prob. 9E Ch. 2.7 - Prob. 10E Ch. 2.7 - Prob. 11E Ch. 2.7 - Prob. 12E Ch. 2.7 - Prob. 13E Ch. 2.7 - Prob. 14E Ch. 2.7 - Prob. 15E Ch. 2.7 - Prob. 16E Ch. 2.7 - Prob. 17E Ch. 2.7 - Prob. 18E Ch. 2.7 - Prob. 19E Ch. 2.7 - Prob. 20E Ch. 2.7 - Prob. 21E Ch. 2.7 - Prob. 22E Ch. 2.7 - Prob. 23E Ch. 2.7 - Prob. 24E Ch. 2.7 - Prob. 25E Ch. 2.7 - Prob. 26E Ch. 2.7 - Prob. 27E Ch. 2.7 - Prob. 28E Ch. 2.7 - Prob. 29E Ch. 2.7 - Prob. 30E Ch. 2.7 - Prob. 31E Ch. 2.7 - Prob. 32E Ch. 2.7 - Prob. 33E Ch. 2.7 - Prob. 34E Ch. 2.7 - Prob. 35E Ch. 2.7 - Prob. 36E Ch. 2.7 - Prob. 37E Ch. 2.7 - Prob. 38E Ch. 2.7 - Prob. 39E Ch. 2.7 - Prob. 40E Ch. 2.7 - Prob. 41E Ch. 2.7 - Prob. 42E Ch. 2.7 - Prob. 43E Ch. 2.7 - Prob. 44E Ch. 2.7 - Prob. 45E Ch. 2.7 - Prob. 46E Ch. 2.8 - Prob. 1E Ch. 2.8 - Prob. 2E Ch. 2.8 - Prob. 3E Ch. 2.8 - Prob. 4E Ch. 2.8 - Prob. 5E Ch. 2.8 - Prob. 6E Ch. 2.8 - Prob. 7E Ch. 2.8 - Prob. 8E Ch. 2.8 - Prob. 9E Ch. 2.8 - Prob. 10E Ch. 2.8 - Prob. 11E Ch. 2.8 - Prob. 12E Ch. 2.8 - Prob. 13E Ch. 2.8 - Prob. 14E Ch. 2.8 - Prob. 15E Ch. 2.8 - Prob. 16E Ch. 2.8 - Prob. 17E Ch. 2.8 - Prob. 18E Ch. 2.8 - Prob. 19E Ch. 2.8 - Prob. 20E Ch. 2.8 - Prob. 21E Ch. 2.8 - Prob. 22E Ch. 2.8 - Prob. 23E Ch. 2.8 - Prob. 24E Ch. 2.8 - Prob. 25E Ch. 2.8 - Prob. 26E Ch. 2.8 - Prob. 27E Ch. 2.8 - Prob. 28E Ch. 2.8 - Prob. 29E Ch. 2.8 - Prob. 30E Ch. 2.8 - Prob. 31E Ch. 2.8 - Prob. 32E Ch. 2.8 - Prob. 33E Ch. 2.8 - Prob. 34E Ch. 2.8 - Prob. 35E Ch. 2.8 - Prob. 36E Ch. 2.8 - Prob. 37E Ch. 2.8 - Prob. 38E Ch. 2.8 - Prob. 39E Ch. 2.8 - Prob. 40E Ch. 2.8 - Prob. 41E Ch. 2.8 - Prob. 42E Ch. 2.8 - Prob. 43E Ch. 2.8 - Prob. 44E Ch. 2.8 - Prob. 45E Ch. 2.8 - Prob. 46E Ch. 2.9 - Prob. 1E Ch. 2.9 - Prob. 2E Ch. 2.9 - Prob. 3E Ch. 2.9 - Prob. 4E Ch. 2.9 - Prob. 5E Ch. 2.9 - Prob. 6E Ch. 2.9 - Prob. 7E Ch. 2.9 - Prob. 8E Ch. 2.9 - Prob. 9E Ch. 2.9 - Prob. 10E Ch. 2.9 - Prob. 11E Ch. 2.9 - Prob. 12E Ch. 2.9 - Prob. 13E Ch. 2.9 - Prob. 14E Ch. 2.9 - Prob. 15E Ch. 2.9 - Prob. 16E Ch. 2.9 - Prob. 17E Ch. 2.9 - Prob. 18E Ch. 2.9 - Prob. 19E Ch. 2.9 - Prob. 20E Ch. 2.9 - Prob. 21E Ch. 2.9 - Prob. 22E Ch. 2.9 - Prob. 23E Ch. 2.9 - Prob. 24E Ch. 2.9 - Prob. 25E Ch. 2.9 - Prob. 26E Ch. 2.9 - Prob. 27E Ch. 2.9 - Prob. 28E Ch. 2.9 - Prob. 29E Ch. 2.9 - Prob. 30E Ch. 2.9 - Prob. 31E Ch. 2.9 - Prob. 32E Ch. 2.9 - Prob. 33E Ch. 2.9 - Prob. 34E Ch. 2.9 - Prob. 35E Ch. 2.9 - Prob. 36E Ch. 2.9 - Prob. 38E Ch. 2.9 - Prob. 39E Ch. 2.9 - Prob. 40E Ch. 2.9 - Prob. 41E Ch. 2.9 - Prob. 42E Ch. 2.9 - Prob. 43E Ch. 2.9 - Prob. 44E Ch. 2.9 - The method of implicit differentiation is often...Ch. 2.9 - Prob. 46E Ch. 2.9 - Prob. 47E Ch. 2.9 - Prob. 48E Ch. 2.9 - Prob. 49E Ch. 2.9 - Prob. 50E Ch. 2.9 - Prob. 51E Ch. 2.9 - Prob. 52E Ch. 2.9 - Prob. 53E Ch. 2.10 - Prob. 1E Ch. 2.10 - Prob. 2E Ch. 2.10 - Prob. 3E Ch. 2.10 - Prob. 4E Ch. 2.10 - Prob. 5E Ch. 2.10 - Prob. 6E Ch. 2.10 - Prob. 7E Ch. 2.10 - Prob. 8E Ch. 2.10 - Prob. 9E Ch. 2.10 - Prob. 10E Ch. 2.10 - Prob. 11E Ch. 2.10 - Prob. 12E Ch. 2.10 - Prob. 13E Ch. 2.10 - Prob. 14E Ch. 2.10 - Prob. 15E Ch. 2.10 - Prob. 16E Ch. 2.10 - Prob. 17E Ch. 2.10 - Prob. 18E Ch. 2.10 - Prob. 19E Ch. 2.10 - Prob. 20E Ch. 2.10 - Prob. 21E Ch. 2.10 - Prob. 22E Ch. 2.10 - Prob. 23E Ch. 2.10 - Prob. 24E Ch. 2.10 - Prob. 25E Ch. 2.10 - Prob. 26E Ch. 2.10 - Prob. 27E Ch. 2.10 - Prob. 28E Ch. 2.10 - Prob. 29E Ch. 2.10 - Prob. 30E Ch. 2.10 - Prob. 31E Ch. 2.10 - Prob. 32E Ch. 2.10 - Prob. 33E Ch. 2.10 - Prob. 34E Ch. 2.10 - Prob. 35E Ch. 2.10 - Prob. 36E Ch. 2.10 - Prob. 37E Ch. 2.10 - Prob. 38E Ch. 2.10 - Prob. 39E Ch. 2.10 - Prob. 40E Ch. 2.10 - Prob. 41E Ch. 2.10 - Prob. 42E Ch. 2.10 - Prob. 43E Ch. 2 - Prob. 1SP Ch. 2 - Prob. 2SP Ch. 2 - Prob. 3SP Ch. 2 - Prob. 4SP Ch. 2 - Prob. 5SP Ch. 2 - Prob. 6SP Ch. 2 - Prob. 7SP Ch. 2 - Prob. 8SP Ch. 2 - Prob. 9SP Ch. 2 - 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The critical points and point of inflection of the following function and sketch the graph also. g ( x ) = e − x 4

Solution Summary: The author explains the critical points and point of inflection of the following function and sketched the graph.

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The critical points and point of inflection of the following function and sketch the graph also.

g(x)=e−x4

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Chapter 2 Solutions

The critical points and point of inflection of the following function and sketch the graph also. g ( x ) = e − x 4

Solution Summary: The author explains the critical points and point of inflection of the following function and sketched the graph.

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The critical points and point of inflection of the following function and sketch the graph also. g(x)=e−x4

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Chapter 2 Solutions

The critical points and point of inflection of the following function and sketch the graph also.

g(x)=e−x4