Par4alsdontexistat thecri4calpoint00 note

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when
(x,y)
 f ( x, y ) ≤ f ( a, b) is
near
(a,b).

 The
number
f(a,b)
is
called
 a
local
maximum
value.
 € Maximum
and
Minimum
Values
 Defini'on:
 A
func4on
of
two
 variables
has
an
absolute
 maximum
at
(a,b)
if
 

























for
all
(x,y)
 f ( x, y ) ≤ f ( a, b) in
the
domain
of
f.

 The
number
f(a,b)
is
called
 a
absolute
maximum
 value.
 € Maximum
and
Minimum
Values
 Defini'on:
 A
func4on
of
two
 variables
has
a
local
 minimum
at
(a,b)
if
 

























when
(x,y)
 f ( x, y ) ≥ f ( a, b) is
near
(a,b).

 The
number
f(a,b)
is
called
 a
local
minimum
value.
 € Maximum
and
Minimum
Values
 Defini'on:
 A
func4on
of
two
 variables
has
an
absolute
 minimum
at
(a,b)
if
 
...
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This note was uploaded on 08/13/2013 for the course MATH 1LT3 taught by Professor Erinclements during the Fall '13 term at McMaster University.

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