(x +1)4 – y²Let f(x, y) = { (x+1)4 + y²-if (x, y) # (–1,0)-1if (x, y) = (-1,0)a. Show that ƒ is not differentiable at (-1, 0).|b. Evaluate f,(-1,0), if it exists.

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Answered: (x +1)4 – y² Let f(x, y) = { (x + 1)4 +…

(x +1)4 – y² Let f(x, y) = { (x + 1)4 + y? - if (x, y) # (–1,0) -1 if (x, y) = (-1,0) a. Show that f is not differentiable at (-1, 0). b. Evaluate f,(-1,0), if it exists.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

(x +1)4 – y²
Let f(x, y) = { (x+1)4 + y²
-
if (x, y) # (–1,0)
-1
if (x, y) = (-1,0)
a. Show that ƒ is not differentiable at (-1, 0).
|
b. Evaluate f,(-1,0), if it exists.

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