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1. Assume the graph pictured below is the graph of a function (x). Use this graph to answer the questions that follow. 10 a. Sketch the graph of the tangent line to the curve at x = 1. b. At what location(s) would S(x) have a horizontal tangent line? c. At what location(s) would f(x) NOT be differentiable? d. At , would the slope of the tangent line be negative or positive? e. At , would the slope of the tangent line be negative or positive?

1. Assume the graph pictured below is the graph of a function (x). Use this graph to answer the questions that follow. 10 a. Sketch the graph of the tangent line to the curve at x = 1. b. At what location(s) would S(x) have a horizontal tangent line? c. At what location(s) would f(x) NOT be differentiable? d. At , would the slope of the tangent line be negative or positive? e. At , would the slope of the tangent line be negative or positive?

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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1. Assume the graph pictured below is the graph of a function f(*). Use this graph to answer the questions that follow. a. Sketch the graph of the tangent line to the curve at x = 1. b. At what location(s) would S(x) have a horizontal tangent line? c. At what location(s) would f(x) NOT be differentiable? d. At , would the slope of the tangent line be negative or positive? e. At , would the slope of the tangent line be negative or positive? 2. Use the limit process to find the derivative of the fiunction. Show all work.
Transcribed Image Text:1. Assume the graph pictured below is the graph of a function f(*). Use this graph to answer the questions that follow. a. Sketch the graph of the tangent line to the curve at x = 1. b. At what location(s) would S(x) have a horizontal tangent line? c. At what location(s) would f(x) NOT be differentiable? d. At , would the slope of the tangent line be negative or positive? e. At , would the slope of the tangent line be negative or positive? 2. Use the limit process to find the derivative of the fiunction. Show all work.
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