For y=f(x)=9x3​, x=4​, and Δx=0.08 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​, ​c) dy for the given x and Δx values.

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 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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For y=f(x)=9x3​, x=4​, and Δx=0.08 find
 
​a) Δy for the given x and Δx ​values,
​b) dy=f ′(x)dx​,
​c) dy for the given x and Δx values.
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