Derivative of a function in a point $x_0 in partial A$
up vote
0
down vote
favorite
What is the definition (if exists) of partial derivative of a function $f: A subseteq mathbb{R}^n rightarrow mathbb{R}$ in a point $x_0 in partial A$ where $partial A$ is the boundary of $A$?
derivatives
asked Nov 22 at 21:26
asv
2561210
add a comment |
up vote
0
down vote
favorite
What is the definition (if exists) of partial derivative of a function $f: A subseteq mathbb{R}^n rightarrow mathbb{R}$ in a point $x_0 in partial A$ where $partial A$ is the boundary of $A$?
derivatives
asked Nov 22 at 21:26
asv
2561210
What do you mean by $Fr(A)$ ? I guess it's the "frontier" but I'm not familiar with any concept of that name.
– 0x539
Nov 22 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 at 21:33
I mean boundary
– asv
Nov 22 at 21:39
For $n=1$, this is called left/right derivative (on the right/left boundary of an interval). In $Bbb R^n$, there is the notion of directional derivative. I'm not sure if this really what you are looking for though.
– Surb
Nov 22 at 23:16
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
What is the definition (if exists) of partial derivative of a function $f: A subseteq mathbb{R}^n rightarrow mathbb{R}$ in a point $x_0 in partial A$ where $partial A$ is the boundary of $A$?
derivatives
asked Nov 22 at 21:26
asv
2561210
What is the definition (if exists) of partial derivative of a function $f: A subseteq mathbb{R}^n rightarrow mathbb{R}$ in a point $x_0 in partial A$ where $partial A$ is the boundary of $A$?
derivatives
derivatives
asked Nov 22 at 21:26
asv
2561210
asked Nov 22 at 21:26
asv
2561210
edited Nov 22 at 22:05
asked Nov 22 at 21:26
asv
2561210
asked Nov 22 at 21:26
asv
2561210
asked Nov 22 at 21:26
asv
2561210
2561210
What do you mean by $Fr(A)$ ? I guess it's the "frontier" but I'm not familiar with any concept of that name.
– 0x539
Nov 22 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 at 21:33
I mean boundary
– asv
Nov 22 at 21:39
For $n=1$, this is called left/right derivative (on the right/left boundary of an interval). In $Bbb R^n$, there is the notion of directional derivative. I'm not sure if this really what you are looking for though.
– Surb
Nov 22 at 23:16
add a comment |
What do you mean by $Fr(A)$ ? I guess it's the "frontier" but I'm not familiar with any concept of that name.
– 0x539
Nov 22 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 at 21:33
I mean boundary
– asv
Nov 22 at 21:39
For $n=1$, this is called left/right derivative (on the right/left boundary of an interval). In $Bbb R^n$, there is the notion of directional derivative. I'm not sure if this really what you are looking for though.
– Surb
Nov 22 at 23:16
What do you mean by $Fr(A)$ ? I guess it's the "frontier" but I'm not familiar with any concept of that name.
– 0x539
Nov 22 at 21:30
What do you mean by $Fr(A)$ ? I guess it's the "frontier" but I'm not familiar with any concept of that name.
– 0x539
Nov 22 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 at 21:33
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 at 21:33
I mean boundary
– asv
Nov 22 at 21:39
I mean boundary
– asv
Nov 22 at 21:39
For $n=1$, this is called left/right derivative (on the right/left boundary of an interval). In $Bbb R^n$, there is the notion of directional derivative. I'm not sure if this really what you are looking for though.
– Surb
Nov 22 at 23:16
For $n=1$, this is called left/right derivative (on the right/left boundary of an interval). In $Bbb R^n$, there is the notion of directional derivative. I'm not sure if this really what you are looking for though.
– Surb
Nov 22 at 23:16
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3009681%2fderivative-of-a-function-in-a-point-x-0-in-partial-a%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
What do you mean by $Fr(A)$ ? I guess it's the "frontier" but I'm not familiar with any concept of that name.
– 0x539
Nov 22 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 at 21:33
I mean boundary
– asv
Nov 22 at 21:39
For $n=1$, this is called left/right derivative (on the right/left boundary of an interval). In $Bbb R^n$, there is the notion of directional derivative. I'm not sure if this really what you are looking for though.
– Surb
Nov 22 at 23:16