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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Question
![Find the equation of the tangent line to the function f(x)
2x + 3x2 + 4x + 2 at the point where = -1.
Select the correct answer below:
у 3 6х + 5
y = 4x + 3
O y = x
у %3 6х + 13
y = x +4
O y = 4x + 11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb0353f4-ec1e-46c1-a9ac-ad90412f108e%2Fc0c53c5d-d7ba-4508-8b0b-3812914ff770%2Faaihoa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the equation of the tangent line to the function f(x)
2x + 3x2 + 4x + 2 at the point where = -1.
Select the correct answer below:
у 3 6х + 5
y = 4x + 3
O y = x
у %3 6х + 13
y = x +4
O y = 4x + 11
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1 : Analysis
Given :
Step 2 : Simplification
Let the equation of the tangent line be , where is the slope of the line.
We will find the derivative of at to determine the slope of the tangent line.
At ,
The slope of the tangent line is . The equation of the tangent line becomes
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