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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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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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