The function f(x) = 4√x² + 3x has one or more local minimums. Use calculus to find the critical number closest to 0 that gives a local minimum value for the function. X =
The function f(x) = 4√x² + 3x has one or more local minimums. Use calculus to find the critical number closest to 0 that gives a local minimum value for the function. X =
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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![The function \( f(x) = 4\sqrt{x^2 + 3} - x \) has one or more local minimums. Use calculus to find the critical number closest to 0 that gives a local minimum value for the function.
\[ x = \underline{\hspace{2cm}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54e8c682-be67-4ef0-bd1d-cf8b2e543b76%2F2060df80-8cf9-4c88-ae35-47aebea73673%2Fkqhjkib_processed.png&w=3840&q=75)
Transcribed Image Text:The function \( f(x) = 4\sqrt{x^2 + 3} - x \) has one or more local minimums. Use calculus to find the critical number closest to 0 that gives a local minimum value for the function.
\[ x = \underline{\hspace{2cm}} \]
![Consider the function \( f(x) = 4 - 6x^2 \), \(-4 \leq x \leq 1\).
The absolute maximum value is [____]
and this occurs at \( x = \) [____]
The absolute minimum value is [____]
and this occurs at \( x = \) [____]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54e8c682-be67-4ef0-bd1d-cf8b2e543b76%2F2060df80-8cf9-4c88-ae35-47aebea73673%2Fjwi5lj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function \( f(x) = 4 - 6x^2 \), \(-4 \leq x \leq 1\).
The absolute maximum value is [____]
and this occurs at \( x = \) [____]
The absolute minimum value is [____]
and this occurs at \( x = \) [____]
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