Find the value of x for which the curve is (i) rising, (ii) falling, (iii) concave upward, (iv) concave downward. Sketch the graph. Show the maximum point, minimum point and the point of inflection. y = x³ 3x² + 2 y = x³ 12x + 12 -

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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Find the value of x for which the curve is (i) rising, (ii) falling, (iii) concave upward, (iv) concave
downward. Sketch the graph. Show the maximum point, minimum point and the point of inflection.
y = x³ 3x² + 2
y =
x³
12x + 12
-
Transcribed Image Text:Find the value of x for which the curve is (i) rising, (ii) falling, (iii) concave upward, (iv) concave downward. Sketch the graph. Show the maximum point, minimum point and the point of inflection. y = x³ 3x² + 2 y = x³ 12x + 12 -
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