The function f (x) = x-1 changes its value when x changes from xo to xo + dx. Let xo = 0.5 and dx = 0.1. %3D Find a. the change Af = f(xo + dx) – f(xo); b. the value of the estimate df = f'(xo) dx; and %3D c. the approximation error |Af – df|.
The function f (x) = x-1 changes its value when x changes from xo to xo + dx. Let xo = 0.5 and dx = 0.1. %3D Find a. the change Af = f(xo + dx) – f(xo); b. the value of the estimate df = f'(xo) dx; and %3D c. the approximation error |Af – df|.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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![The function f (x) = x-1 changes its value when x changes from xo to xo + dx. Let xo = 0.5 and dx = 0.1.
Find
a. the change Af = f(xo + dx) – f(xo);
b. the value of the estimate df = f'(xo) dx; and
%3D
%3D
c. the approximation error |Af – df|.
y = f(x)/
Af = f(xo + dx) - f(xo)
df = f'(xo) dx
dx
Tangent
Xo + dx
d) Write the linearization of f (x) at xo = 0.5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffae98bcb-1fb7-47b9-a33f-1dde933d2849%2F646b2461-f47e-4402-a5d1-59b4b93a378d%2Fr6xd4unq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function f (x) = x-1 changes its value when x changes from xo to xo + dx. Let xo = 0.5 and dx = 0.1.
Find
a. the change Af = f(xo + dx) – f(xo);
b. the value of the estimate df = f'(xo) dx; and
%3D
%3D
c. the approximation error |Af – df|.
y = f(x)/
Af = f(xo + dx) - f(xo)
df = f'(xo) dx
dx
Tangent
Xo + dx
d) Write the linearization of f (x) at xo = 0.5.
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