The function f(x) changes value when x changes from xo to xo + dx. 3 f(x)=x-x, xo = 3, dx = 0.2 a. Find the change Af=f(xo + dx)-f(xo). b. Find the value of the estimate df = f'(x) dx. c. Find the approximation error | Af-df.
The function f(x) changes value when x changes from xo to xo + dx. 3 f(x)=x-x, xo = 3, dx = 0.2 a. Find the change Af=f(xo + dx)-f(xo). b. Find the value of the estimate df = f'(x) dx. c. Find the approximation error | Af-df.
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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The function f(x) changes value when x changes from Xo to Xo + dx.
f(x)=x^3-x, Xo=3, dx=0.2
a) find the change
b) find the value of estimate
c) find the approximation error
![The function f(x) changes value when x changes from xo to xo + dx.
3
f(x) = x - x, xo = 3, dx = 0.2
a. Find the change Af=f(xo + dx) -f(xo).
b. Find the value of the estimate df = f'(x) dx.
c. Find the approximation error | Af-df.
a. Find the change Af=f(xo + dx) -f(xo).
Af=
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d31b151-adde-452e-9f9e-014f79fed582%2Ff4e26fea-86a6-42a9-a404-197aaf299252%2Fobjcx75_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function f(x) changes value when x changes from xo to xo + dx.
3
f(x) = x - x, xo = 3, dx = 0.2
a. Find the change Af=f(xo + dx) -f(xo).
b. Find the value of the estimate df = f'(x) dx.
c. Find the approximation error | Af-df.
a. Find the change Af=f(xo + dx) -f(xo).
Af=
(Round to three decimal places as needed.)
![0
(xo-fixo))
Tangent
O
y = f(x)
N
df = f'(xo) dx
to + dr
Save
Af = f(xo + dx) -f(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d31b151-adde-452e-9f9e-014f79fed582%2Ff4e26fea-86a6-42a9-a404-197aaf299252%2Fivpputs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:0
(xo-fixo))
Tangent
O
y = f(x)
N
df = f'(xo) dx
to + dr
Save
Af = f(xo + dx) -f(x)
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