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A1. The function f is defined by f(x) = x² − 3x³ + 2x² + 3. (a) Find f'(x), f'(x), and f""(x). (b) Find the two stationary points of f, and determine the nature of these points. (c) Sketch f (there is no need to find or indicate crossings of the x-axis). What is the range of f?

A1. The function f is defined by f(x) = x² − 3x³ + 2x² + 3. (a) Find f'(x), f'(x), and f""(x). (b) Find the two stationary points of f, and determine the nature of these points. (c) Sketch f (there is no need to find or indicate crossings of the x-axis). What is the range of f?

Calculus: Early Transcendentals
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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A1. The function f is defined by f(x) = x¹ − 3x³ + 2x² + ¾/7. (a) Find f'(x), ƒ"(x), and ƒ""(x). (b) Find the two stationary points of f, and determine the nature of these points. (c) Sketch f (there is no need to find or indicate crossings of the x-axis). What is the range of f?
Transcribed Image Text:A1. The function f is defined by f(x) = x¹ − 3x³ + 2x² + ¾/7. (a) Find f'(x), ƒ"(x), and ƒ""(x). (b) Find the two stationary points of f, and determine the nature of these points. (c) Sketch f (there is no need to find or indicate crossings of the x-axis). What is the range of f?
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