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Section 3.2 1. Let f(r) = 3r + 4r³. %3D (a) Give the domain of f(x). Domain: (b) Give f'(r). f'(r) = %3D (c) Find any critical points (c. f(c)) of f(r). Critical points:

Section 3.2 1. Let f(r) = 3r + 4r³. %3D (a) Give the domain of f(x). Domain: (b) Give f'(r). f'(r) = %3D (c) Find any critical points (c. f(c)) of f(r). Critical points:

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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complete the following question
Section 3.2 1. Let f(r) = 3r + 4r. (a) Give the domain of f(x). Domain: (b) Give f'(r). f'(r) = %3D (c) Find any critical points (c. f(c)) of f(x). Critical points: (d) Find any intervals for which f(x) is increasing or decreasing. Find any local maximum or minimum points of f(r). If none, say so. Increasing: Decreasing: Local maximum points: Local minimum points:
Transcribed Image Text:Section 3.2 1. Let f(r) = 3r + 4r. (a) Give the domain of f(x). Domain: (b) Give f'(r). f'(r) = %3D (c) Find any critical points (c. f(c)) of f(x). Critical points: (d) Find any intervals for which f(x) is increasing or decreasing. Find any local maximum or minimum points of f(r). If none, say so. Increasing: Decreasing: Local maximum points: Local minimum points:
f"(r) = (e) Give f"(r). (f) Find any possible points of inflection of f(r). Possible points of inflection: (g) Find any intervals for which f(x) is concave up or concave down. Find points of inflection. If none, say so. Concave up: Concave down: Points of inflection: (h) Draw a number line for f(x) that determines the shape of f(x) using the previous parts of this question. (i) Graph f(r).
Transcribed Image Text:f"(r) = (e) Give f"(r). (f) Find any possible points of inflection of f(r). Possible points of inflection: (g) Find any intervals for which f(x) is concave up or concave down. Find points of inflection. If none, say so. Concave up: Concave down: Points of inflection: (h) Draw a number line for f(x) that determines the shape of f(x) using the previous parts of this question. (i) Graph f(r).
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