In Exercises 39-44, each function f(x) changes value when x changes from x, to xo + dx. Find a. the change Af = f(xo + dr) – f(x); b. the value of the estimate df = f'(x) dx; and %3D c. the approximation error |Af - df|. y = f(x)/ Af = f(x, + dr) –f(x) (Xo. f(ro)) df = f'(xo) dx dx Tangent line Xo + dr
In Exercises 39-44, each function f(x) changes value when x changes from x, to xo + dx. Find a. the change Af = f(xo + dr) – f(x); b. the value of the estimate df = f'(x) dx; and %3D c. the approximation error |Af - df|. y = f(x)/ Af = f(x, + dr) –f(x) (Xo. f(ro)) df = f'(xo) dx dx Tangent line Xo + dr
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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ƒ(x) = x2 + 2x, x0 = 1, dx = 0.1
Transcribed Image Text:In Exercises 39-44, each function f(x) changes value when x changes
from x, to xo + dx. Find
a. the change Af = f(xo + dr) – f(x);
b. the value of the estimate df = f'(x) dx; and
%3D
c. the approximation error |Af - df|.
y = f(x)/
Af = f(x, + dr) –f(x)
(Xo. f(ro))
df = f'(xo) dx
dx
Tangent line
Xo + dr
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