If f(x) = 2x² - 2x + 3, find f'(3). Use this to find the linear approximation to f(x) at z = 3. The equation of this linear approximation is L(x) = Use L(z) to approximate f(3.3). (Compute the actual value of L(3.3).) f(3.3) Compare this with the actual value of f(3.3) = =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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If f(x) = 2x² - 2x + 3, find f'(3).
Use this to find the linear approximation to f(x) at z = 3.
The equation of this linear approximation is
L(T) =
Use L(z) to approximate f(3.3). (Compute the actual value of L(3.3).)
f(3.3) =
Compare this with the actual value of f(3.3) =
Transcribed Image Text:If f(x) = 2x² - 2x + 3, find f'(3). Use this to find the linear approximation to f(x) at z = 3. The equation of this linear approximation is L(T) = Use L(z) to approximate f(3.3). (Compute the actual value of L(3.3).) f(3.3) = Compare this with the actual value of f(3.3) =
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