3. Let L₁ denote the tangent line to the graph of the function f(x) = 2³ - 2x²-1 at the point (1, -2) and let L2 denote the line the is perpendicular to L₁ and passes through the point (2, 1). Find the equation of L2. y-y₁ = m(x-x₁)
3. Let L₁ denote the tangent line to the graph of the function f(x) = 2³ - 2x²-1 at the point (1, -2) and let L2 denote the line the is perpendicular to L₁ and passes through the point (2, 1). Find the equation of L2. y-y₁ = m(x-x₁)
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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h*0M(((3 h)
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lim 2x²+3x²h+3xh²-2x-2h_lim
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stope of Li
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3.
Let L₁ denote the tangent line to the graph of the function f(x) = x³ - 2x² - 1 at the
point (1, -2) and let L2 denote the line the is perpendicular to L₁ and passes through the point (2, 1).
Find the equation of L2.
y-y₁ = m(x-x₁)
y+2=m(x-1)
Ivic 3+ (1,-2)
lim_ f(x+h)-f(x) - lim (x+h) ³-2(x+h)²-1 - [x³ - 2x²-1]
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lim_+3x²h+3xh²+h³-2x-2h-x²+2x²x1_
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(x²+xhtxhth ²)(x+h)
(x²+2xh th²)(x+h) = x³ + x²h+2xhx + 2xhh+ xh² +h³
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Transcribed Image Text:fn
caps lock
shift
control
=
option
N
n
X
=
H
command
ㄷ
с
FL
V
G
h*0M(((3 h)
B
H
h70
lim 2x²+3x²h+3xh²-2x-2h_lim
=-1
slope of fina cat luc
stope of Li
1₂ perpendicular to bi
N
M
K
3.
Let L₁ denote the tangent line to the graph of the function f(x) = x³ - 2x² - 1 at the
point (1, -2) and let L2 denote the line the is perpendicular to L₁ and passes through the point (2, 1).
Find the equation of L2.
y-y₁ = m(x-x₁)
y+2=m(x-1)
Ivic 3+ (1,-2)
lim_ f(x+h)-f(x) - lim (x+h) ³-2(x+h)²-1 - [x³ - 2x²-1]
h70
h
h40
lim_+3x²h+3xh²+h³-2x-2h-x²+2x²x1_
h70
H
(x+h)(x+h) (x+h)
(x²+xhtxhth ²)(x+h)
(x²+2xh th²)(x+h) = x³ + x²h+2xhx + 2xhh+ xh² +h³
L
command option
z
?
/
2x²-2x+3x²h+3xh²-2h
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