Let f be the function defined as follows. y = f(x) = square root of 7x+9 (a) Find the differential of f. dy = (b) Use your result from part (a) to find the approximate change in y if x changes from 4 to 4.1. (Round your answer to three decimal places.) dy = (c) Find the actual change in y if x changes from 4 to 4.1 and compare your result with that obtained in part (b). (Round your answer to three decimal places.) Δy =
Let f be the function defined as follows. y = f(x) = square root of 7x+9 (a) Find the differential of f. dy = (b) Use your result from part (a) to find the approximate change in y if x changes from 4 to 4.1. (Round your answer to three decimal places.) dy = (c) Find the actual change in y if x changes from 4 to 4.1 and compare your result with that obtained in part (b). (Round your answer to three decimal places.) Δy =
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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Question
Let f be the function defined as follows.
y = f(x) = square root of 7x+9
(a)
Find the differential of f.
dy =
(b)
Use your result from part (a) to find the approximate change in y if x changes from 4 to 4.1. (Round your answer to three decimal places.)
dy =
(c)
Find the actual change in y if x changes from 4 to 4.1 and compare your result with that obtained in part (b). (Round your answer to three decimal places.)
Δy =
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