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f(x) = x - 12x +1 on the interval Find the absolute minimum of (-3, 1).

f(x) = x - 12x +1 on the interval Find the absolute minimum of (-3, 1).

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...
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**Problem Statement:** Find the absolute minimum of \( f(x) = x^3 - 12x + 1 \) on the interval \([-3, 1]\). **Solution:** To find the absolute minimum of a function on a closed interval, we evaluate it at critical points within the interval and at the endpoints.
Transcribed Image Text:**Problem Statement:** Find the absolute minimum of \( f(x) = x^3 - 12x + 1 \) on the interval \([-3, 1]\). **Solution:** To find the absolute minimum of a function on a closed interval, we evaluate it at critical points within the interval and at the endpoints.
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