Show that the function is differentiable by finding values of ε1 and ε2 as designated in the definition of differentiability f(x, y) = 5x − 10y + y3, and verify that both ε1 and ε2 approach 0 as (∆x, ∆y)→(0, 0).
Show that the function is differentiable by finding values of ε1 and ε2 as designated in the definition of differentiability f(x, y) = 5x − 10y + y3, and verify that both ε1 and ε2 approach 0 as (∆x, ∆y)→(0, 0).
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
Section9.2: Partial Derivatives
Problem 48E
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Show that the function is
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