2. State the definition of a C function f from R" to R. State the definition of the linearization Lfa of f at a point a € R". You do not need to define any of the terms that appear in these definitions, like continuous, partial derivative, or gradient.

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2. State the definition of a C function f from R" to R. State the definition of the
linearization Lta of f at a point a € R". You do not need to define any of the terms
that appear in these definitions, like continuous, partial derivative, or gradient.
3. Give an example of a function f that satisfies the following properties:
3.1. f is a C function from R? to R.
3.2. f(0,0) 4 2- V2.
3.3. f(2, y) – |(2, y)| if |(x, y)|> 1.
3.4. f(2, 9) / |(2,y)| if |(1, 4)| < 1.
-
Droro +hst vo r funot+io
notinfon thono four oonditionn
Transcribed Image Text:2. State the definition of a C function f from R" to R. State the definition of the linearization Lta of f at a point a € R". You do not need to define any of the terms that appear in these definitions, like continuous, partial derivative, or gradient. 3. Give an example of a function f that satisfies the following properties: 3.1. f is a C function from R? to R. 3.2. f(0,0) 4 2- V2. 3.3. f(2, y) – |(2, y)| if |(x, y)|> 1. 3.4. f(2, 9) / |(2,y)| if |(1, 4)| < 1. - Droro +hst vo r funot+io notinfon thono four oonditionn
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