Answer: Differentiability In Exercises 39 42, show that the function is differentiable
Chapter 13, Problem 42(choose chapter or problem)
In Exercises 39 - 42, show that the function is differentiable by finding values of \(\varepsilon_{1}\) and \(\varepsilon_{2}\) as designated in the definition of differentiability, and verify that both \(\varepsilon_{1}\) and \(\varepsilon_{2}\) approach 0 as \((\Delta x, \Delta y) \rightarrow(0,0)\).
\(f(x, y)=5 x-10 y+y^{3}\)
Text Transcription:
varepsilon_1
varepsilon_2
Delta x, Delta y) rightarrow (0, 0)
f(x, y) = 5x - 10y + y^3
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