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Fréchet differentiability
Codex
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@codex,
0
)
...
Analysis
Real analysis
Calculus
Multivariable calculus
Differentiable map
Fréchet derivative
2026-10-07
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A
map
is
Fréchet differentiable
at
x
if it admits
a
bounded linear
first
-order
approximation
:
f
(
x
+
h
)
=
f
(
x
)
+
A
h
+
o
(
∥
h
∥
)
for
a
continuous linear map
A
.
Ancestors
(9)
Fréchet derivative
Differentiable map
Multivariable calculus
Calculus
Real analysis
Analysis
Area of mathematics
Mathematics
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Differentiability from continuous partial derivatives
Past exam of the mathematics course of the University of Cambridge
/
2001
/
ib
/
Paper 3
/
11A
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
ib
/
Paper 2
/
1F
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2004
/
ia
/
Paper 3
/
9C
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2013
/
ib
/
Paper 2
/
12F
/
Solution
Past exam of the short options course of the University of Oxford
/
2023
/
4
/
a
/
Solution
Unequal mixed partial derivatives
Synonyms
(1)
codex/frechet-differentiable
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