12.3 Partial Derivatives

Exfxy2xy 3 2 1 0 1 2 3 3 2 1 0 1 2 3 exfxyx2y2 2 1 0

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Unformatted text preview: 279.2
 278.2
 Slope
north:
 
 
 
 
 Slope
east:
 
 
 
 
 
 Def:

For
z
=
f(x,
y)
the
rate
of
change
of
f
at
(a,
b)
in
the
+x
 direction
(with
y
constant)
is
the
partial
derivative
of
f
with
 respect
to
x.
 ∂f f ( a + h, b) − f ( a, b) = f x ( a, b) = lim 
 h→0 ∂x h if
the
limit
exists.
 Similarly
the
partial
derivative
of
f
with
respect
to
y
is:
 ∂f f ( a, b + h ) − f ( a...
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This note was uploaded on 10/02/2011 for the course AERO 1234 at Virginia Tech.

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