Let f(x) = x³ - 10, x= [-15√3, 15√3]. Find the value of c guaranteed by the Mean Value Theorem on the interval [-15√3, 15√3] such that d dx f(x)|x=c f(15√3)-f(-15√/3) 15√3-(-15√3) Write your answers in ascending order separated by a comma. c = _

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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Let
f(x) = x³ - 10, x ≤ [-15√3, 15√3].
Find the value of c guaranteed by the Mean Value Theorem on the interval [-15√√/3, 15√3] such that
da f(x)\|a=c
ƒ(15√3) – f(−15√3)
15√3- (-15√3)
Write your answers in ascending order separated by a comma.
с
Transcribed Image Text:Let f(x) = x³ - 10, x ≤ [-15√3, 15√3]. Find the value of c guaranteed by the Mean Value Theorem on the interval [-15√√/3, 15√3] such that da f(x)\|a=c ƒ(15√3) – f(−15√3) 15√3- (-15√3) Write your answers in ascending order separated by a comma. с
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