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If f(x) = 3x² - 6x + 7, find f'(2). Use this to find the linear approximation to f(x) at x = 2. The equation of this linear approximation is L(x) Use L(x) to approximate f(2.2). (Compute the actual value of L(2.2).) = ƒ(2.2)≈ Compare this with the actual value of f(2.2) =

If f(x) = 3x² - 6x + 7, find f'(2). Use this to find the linear approximation to f(x) at x = 2. The equation of this linear approximation is L(x) Use L(x) to approximate f(2.2). (Compute the actual value of L(2.2).) = ƒ(2.2)≈ Compare this with the actual value of f(2.2) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If f(x) = 3x² - 6x + 7, find f'(2). Use this to find the linear approximation to f(x) at The equation of this linear approximation is L(x) = = Use L(x) to approximate f(2.2). (Compute the actual value of L(2.2).) ƒ(2.2)~ Compare this with the actual value of f(2.2) = 2. =
Transcribed Image Text:If f(x) = 3x² - 6x + 7, find f'(2). Use this to find the linear approximation to f(x) at The equation of this linear approximation is L(x) = = Use L(x) to approximate f(2.2). (Compute the actual value of L(2.2).) ƒ(2.2)~ Compare this with the actual value of f(2.2) = 2. =
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