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For each problem below, you're given a function and its first and second derivatives. Find the domain and zeroes of f (x). b. Find out what f'(x) and f"(x) tell you about the shape of f (x). а. с. Use this information to help you draw a good sketch of the function that shows all x-intercepts, max/min values, and inflection points. (In the future, you will be asked to do this given the function only - so be sure you can find these derivatives and get them into a useful form to find their zeroes.) 1. f(x) 3D х4 — 2х3 f'(x) = 4x3 – 6x² f"(x) = 12x? - 12x

For each problem below, you're given a function and its first and second derivatives. Find the domain and zeroes of f (x). b. Find out what f'(x) and f"(x) tell you about the shape of f (x). а. с. Use this information to help you draw a good sketch of the function that shows all x-intercepts, max/min values, and inflection points. (In the future, you will be asked to do this given the function only - so be sure you can find these derivatives and get them into a useful form to find their zeroes.) 1. f(x) 3D х4 — 2х3 f'(x) = 4x3 – 6x² f"(x) = 12x? - 12x

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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For each problem below, you're given a function and its first and second derivatives. a. Find the domain and zeroes of f (x). b. Find out what f'(x) and f"(x) tell you about the shape of f (x). С. Use this information to help you draw a good sketch of the function that shows all x-intercepts, max/min values, and inflection points. (In the future, you will be asked to do this given the function only - so be sure you can find these derivatives and get them into a useful form to find their zeroes.) 1. f(x) — х4 — 2х3 f'(x) = 4x³ – 6x? f"(x) = 12x2 – 12x
Transcribed Image Text:For each problem below, you're given a function and its first and second derivatives. a. Find the domain and zeroes of f (x). b. Find out what f'(x) and f"(x) tell you about the shape of f (x). С. Use this information to help you draw a good sketch of the function that shows all x-intercepts, max/min values, and inflection points. (In the future, you will be asked to do this given the function only - so be sure you can find these derivatives and get them into a useful form to find their zeroes.) 1. f(x) — х4 — 2х3 f'(x) = 4x³ – 6x? f"(x) = 12x2 – 12x
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