2 Consider f (x) = x² - 3x 3x on the interval [0,2]. Assume the conditions for the Mean Value Theorem (MVT) are met. Find the value of C that satisfies the conclusion of the MVT. Oc=0 Oc= 0.5 ○c = 1 Oc = 1.5 0. Given that The function f (x) 2 f(x) = x² ex has a critical point at x = f"(0) = 2, what can you conclude about this critical point? Local min at X = = 0 - Local max at X 0 Of(x) is increasing at x = 0 Of(x) is decreasing at x = = 0

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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Question
2
Consider f (x) = x² - 3x
3x on the interval [0,2]. Assume the conditions
for the Mean Value Theorem (MVT) are met. Find the value of C that satisfies the
conclusion of the MVT.
Oc=0
Oc= 0.5
○c = 1
Oc = 1.5
Transcribed Image Text:2 Consider f (x) = x² - 3x 3x on the interval [0,2]. Assume the conditions for the Mean Value Theorem (MVT) are met. Find the value of C that satisfies the conclusion of the MVT. Oc=0 Oc= 0.5 ○c = 1 Oc = 1.5
0. Given that
The function f (x)
2
f(x) = x² ex has a critical point at x =
f"(0) = 2, what can you conclude about this critical point?
Local min at X = = 0
-
Local max at X 0
Of(x) is increasing at x = 0
Of(x) is decreasing at x = = 0
Transcribed Image Text:0. Given that The function f (x) 2 f(x) = x² ex has a critical point at x = f"(0) = 2, what can you conclude about this critical point? Local min at X = = 0 - Local max at X 0 Of(x) is increasing at x = 0 Of(x) is decreasing at x = = 0
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