Use the total differential to approximate the change in a function of two variables. Find the differential of the function f(x, y) = 5x² + 4xy - 6y2 at the point (-3, 3) using Az = 0.3 a Ay = -0.15 .

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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Use the total differential to approximate the change in a function of two variables.
Find the differential of the function f(x, y) = 5x² + 4xy - 6y² at the point (-3, 3) using Az = 0.3 a
Ay=
0.15.
dz =
Now find Az and compare it to your answer above
Az =
Hint: If entering a decimal, round to at least 5 places
Transcribed Image Text:Use the total differential to approximate the change in a function of two variables. Find the differential of the function f(x, y) = 5x² + 4xy - 6y² at the point (-3, 3) using Az = 0.3 a Ay= 0.15. dz = Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places
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