Derivative of a function in a point $x_0 in partial A$
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
add a comment |
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
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 '18 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 '18 at 21:33
I mean boundary
– asv
Nov 22 '18 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 '18 at 23:16
add a comment |
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
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
edited Nov 22 '18 at 22:05
asv
asked Nov 22 '18 at 21:26
asvasv
2841211
2841211
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 '18 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 '18 at 21:33
I mean boundary
– asv
Nov 22 '18 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 '18 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 '18 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 '18 at 21:33
I mean boundary
– asv
Nov 22 '18 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 '18 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 '18 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 '18 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 '18 at 21:33
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 '18 at 21:33
I mean boundary
– asv
Nov 22 '18 at 21:39
I mean boundary
– asv
Nov 22 '18 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 '18 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 '18 at 23:16
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
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
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
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 '18 at 21:30
Do you mean boundary? This may be translated.
– Sean Roberson
Nov 22 '18 at 21:33
I mean boundary
– asv
Nov 22 '18 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 '18 at 23:16