1. Find the equations of the tangent lines to the graphs of the following functions at the points with first coordinate a. a. f(x) = b. f(x) = c. f(x) = and a = 3 1 and a = 2 4x and a = = -1

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. Find the equations of the tangent lines to the graphs of the following functions at the points with first
coordinate a.
a. f(x) = and a = 3
b. f(x) =
x² +1 and a 2
x-1
4x
c. f(x) =
and a = -1
d. f(x= x and a = 0. The graph of the function is shown below.
--4 -3 -2 -1
Y
2r
24
1
I
2
I
3 4
5
X
Transcribed Image Text:1. Find the equations of the tangent lines to the graphs of the following functions at the points with first coordinate a. a. f(x) = and a = 3 b. f(x) = x² +1 and a 2 x-1 4x c. f(x) = and a = -1 d. f(x= x and a = 0. The graph of the function is shown below. --4 -3 -2 -1 Y 2r 24 1 I 2 I 3 4 5 X
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I have a question with regards to a. In the step where the substitution of the values happened why did the -3 of y-1/3=- 1/9x-3  changed to 1/3?

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