Find the x that maximizes the function f defined as f(x) = x¹/2 - 2x1/31/41/81/16

Answered: Find the x that maximizes the function…

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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Find the x that maximizes the function f defined as f(x) = x¹/2 - 2x
1/3
1/4
1/8
1/16

Expert Solution

Step 1: Defining function maximization

The derivative will be zero at the minimum and maximum points because the line turns to be parallel to the x axis leading to a zero slope. The derivative f′(x) will be zero at point x when f(x) is a maximum.

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