as follows. y-f(x) = 7x²9x + 2 (a) Find the differential of f. dy 14x-9 X (b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.) dy= (c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.) Ay 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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subject:algebra

Let / be the function defined as follows.
y-f(x) = 7x²9x + 2
(a) Find the differential of f.
14x 9
dy-
X
(b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.)
(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)
Ay
Transcribed Image Text:Let / be the function defined as follows. y-f(x) = 7x²9x + 2 (a) Find the differential of f. 14x 9 dy- X (b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.) (c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.) Ay
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