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1 Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f(x) = sin x . (5) 1. On graph paper, sketch the graph of y= sin x and draw a tangent line at (0,0). Your scale should allow you to graph points very close to (0,0). Is the slope of this line positive? Negative? Explain your reasoning.

1 Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f(x) = sin x . (5) 1. On graph paper, sketch the graph of y= sin x and draw a tangent line at (0,0). Your scale should allow you to graph points very close to (0,0). Is the slope of this line positive? Negative? Explain your reasoning.

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 Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f(x) = sin x . (5) 1. On graph paper, sketch the graph of y= sin x and draw a tangent line at (0,0). Your scale should allow you to graph points very close to (0,0). Is the slope of this line positive? Negative? Explain your reasoning.
Transcribed Image Text:1 Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f(x) = sin x . (5) 1. On graph paper, sketch the graph of y= sin x and draw a tangent line at (0,0). Your scale should allow you to graph points very close to (0,0). Is the slope of this line positive? Negative? Explain your reasoning.
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