Let f(x, y) = (x + 2)? – (y+2)². Fill in the blanks. f(-2, –2) = 0 fa(-2, –2) = fy(-2, –2) = 0 f(x, y) = (x + 2)² – (y+2)² is differentiable at (-2, –2). - not differentiable differentiable

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Let f(x, y) = (x + 2)? – (y+2)². Fill in the blanks.
f(-2, –2) = 0
fa(-2, –2) =
fy(-2, –2) = 0
f(x, y) = (x + 2)² – (y+2)² is differentiable
at (-2, –2).
-
not differentiable
differentiable
Transcribed Image Text:Let f(x, y) = (x + 2)? – (y+2)². Fill in the blanks. f(-2, –2) = 0 fa(-2, –2) = fy(-2, –2) = 0 f(x, y) = (x + 2)² – (y+2)² is differentiable at (-2, –2). - not differentiable differentiable
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