The function f(x) changes value when x changes from xo to xo + dx. f(x) = 2x³ - 2x, x = 1, dx = 0.1 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 (xo-f(x)) Tangent xo y=f(x)/ dx Af=f(xo+dx)-f(x) T df-f(x) dx xo + dx

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) = 2x³ - 2x, x₁ = 1, dx = 0.1
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|
0
(xo-f(x))
Tangent
Xo
y = f(x)/
dx
K
df = f'(xo) dx
Af = f(xo + dx)-f(xo)
xo + dx
Transcribed Image Text:The function f(x) changes value when x changes from xo to xo + dx. f(x) = 2x³ - 2x, x₁ = 1, dx = 0.1 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| 0 (xo-f(x)) Tangent Xo y = f(x)/ dx K df = f'(xo) dx Af = f(xo + dx)-f(xo) xo + dx
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