Using second derivative test for the critical points of the curve y = x - 3x² – 9x + 20 , which of the following statements is true? At x =-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. A) At x = 3 , y" is positive, concave upward, hence, y (3) is a relative maximum value. B) At x= -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value. C) At x = 3, y" is positive, concave downward, hence, y (3) is a relative minimum value. D)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Using second derivative test for the critical points of the curve y = x³ - 3x² – 9x + 20 , which of the following statements is
true?
At x =-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value.
A)
At x = 3 , y" is positive, concave upward, hence, y (3) is a relative maximum value.
B)
At x= -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value.
C)
At x= 3, y" is positive, concave downward, hence, y (3) is a relative minimum value.
D)
Transcribed Image Text:Using second derivative test for the critical points of the curve y = x³ - 3x² – 9x + 20 , which of the following statements is true? At x =-1, y" is negative, concave downward, hence, y (-1) is a relative maximum value. A) At x = 3 , y" is positive, concave upward, hence, y (3) is a relative maximum value. B) At x= -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value. C) At x= 3, y" is positive, concave downward, hence, y (3) is a relative minimum value. D)
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