4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1

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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4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 < x < 1 and concave
down elsewhere. Also f(0) = 1. What are the values of a and b?
-1
a - and b=0
6
a=0 and b==¹
a=b=-1
None of the above
Page 2 of 4
Transcribed Image Text:4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 < x < 1 and concave down elsewhere. Also f(0) = 1. What are the values of a and b? -1 a - and b=0 6 a=0 and b==¹ a=b=-1 None of the above Page 2 of 4
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