Find the differential of the function f(x,y)=−5x√yf(x,y)=-5xy at the point (8,2)(8,2) using Δx=0.25Δx=0.25 and Δy=−0.15Δy=-0.15   . dz=dz=    Now find ΔzΔz and compare it to your answer above Δz=Δz=    Hint: If entering a decimal, round to at least 5 places

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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Find the differential of the function f(x,y)=−5x√yf(x,y)=-5xy at the point (8,2)(8,2) using Δx=0.25Δx=0.25 and Δy=−0.15Δy=-0.15   .

dz=dz=   

Now find ΔzΔz and compare it to your answer above

Δz=Δz=   

Hint: If entering a decimal, round to at least 5 places

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