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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