Assume that f x , y is differentiable at x 0 , y 0 and let Δ f denote the change in f from its value at x 0 , y 0 to its value at x 0 + Δ x , y 0 + Δ y . (a) Δ f ≈ ______ (b) The limit that guarantees the error in the approximation in part (a) is very small when both Δ x and Δ y are close to 0 is _ _ _ _ _ _ .
Assume that f x , y is differentiable at x 0 , y 0 and let Δ f denote the change in f from its value at x 0 , y 0 to its value at x 0 + Δ x , y 0 + Δ y . (a) Δ f ≈ ______ (b) The limit that guarantees the error in the approximation in part (a) is very small when both Δ x and Δ y are close to 0 is _ _ _ _ _ _ .
Assume that
f
x
,
y
is differentiable at
x
0
,
y
0
and let
Δ
f
denote the change in f from its value at
x
0
,
y
0
to its value at
x
0
+
Δ
x
,
y
0
+
Δ
y
.
(a)
Δ
f
≈
______
(b) The limit that guarantees the error in the approximation in part (a) is very small when both
Δ
x
and
Δ
y
are close to 0 is
_
_
_
_
_
_
.
University Calculus: Early Transcendentals (3rd Edition)
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