Using second derivative test for the critical points of the curve y = x³ - 3x2 9x + 20 , which of the following statements is true? 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 maximum value. © At x= -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value. D At x = 3, y" is positive, concave downward, hence, y (3) is a relative minimum value.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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?
(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 maximum value.
C) At x= -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value.
D) At x = 3, y" is positive, concave downward, hence, y (3) is a relative minimum value.
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? (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 maximum value. C) At x= -1, y" is negative, concave downward, hence, y (-1) is a relative minimum value. D) At x = 3, y" is positive, concave downward, hence, y (3) is a relative minimum value.
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