Find the value of Δx for which the value of Δy/Δx is within 0.1 units of slope.
$begingroup$
Here is the link for the problem that I am trying to solve:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/
The problem is 1c in the pdf:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/MIT18_01SCF10_ex01sol.pdf
The final solution is next:
$$-0.08 le Delta x le 0.10$$
As I understand this is the formula for this problem where m is the slope:
$$-0.1m le frac{Delta y}{Delta x} le 0.1m$$
But I can't understand why the numbers on each end are different. Appreciate any help.
derivatives inequality slope
asked Dec 8 '18 at 12:49
OlegOleg
1023
$endgroup$
add a comment |
$begingroup$
Here is the link for the problem that I am trying to solve:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/
The problem is 1c in the pdf:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/MIT18_01SCF10_ex01sol.pdf
The final solution is next:
$$-0.08 le Delta x le 0.10$$
As I understand this is the formula for this problem where m is the slope:
$$-0.1m le frac{Delta y}{Delta x} le 0.1m$$
But I can't understand why the numbers on each end are different. Appreciate any help.
derivatives inequality slope
asked Dec 8 '18 at 12:49
OlegOleg
1023
$endgroup$
$begingroup$
Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here.
$endgroup$
– Shaun
Dec 8 '18 at 12:53
$begingroup$
Here's what I see. Please use MathJax. If you're unsure of what code to use for a symbol, try Detexify.
$endgroup$
– Shaun
Dec 8 '18 at 13:14
$begingroup$
Please try now.
$endgroup$
– Oleg
Dec 8 '18 at 13:16
$begingroup$
That's better. Thank you.
$endgroup$
– Shaun
Dec 8 '18 at 13:18
add a comment |
$begingroup$
Here is the link for the problem that I am trying to solve:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/
The problem is 1c in the pdf:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/MIT18_01SCF10_ex01sol.pdf
The final solution is next:
$$-0.08 le Delta x le 0.10$$
As I understand this is the formula for this problem where m is the slope:
$$-0.1m le frac{Delta y}{Delta x} le 0.1m$$
But I can't understand why the numbers on each end are different. Appreciate any help.
derivatives inequality slope
asked Dec 8 '18 at 12:49
OlegOleg
1023
$endgroup$
Here is the link for the problem that I am trying to solve:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/
The problem is 1c in the pdf:
https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/1.-differentiation/part-a-definition-and-basic-rules/session-1-introduction-to-derivatives/MIT18_01SCF10_ex01sol.pdf
The final solution is next:
$$-0.08 le Delta x le 0.10$$
As I understand this is the formula for this problem where m is the slope:
$$-0.1m le frac{Delta y}{Delta x} le 0.1m$$
But I can't understand why the numbers on each end are different. Appreciate any help.
derivatives inequality slope
derivatives inequality slope
asked Dec 8 '18 at 12:49
OlegOleg
1023
asked Dec 8 '18 at 12:49
OlegOleg
1023
edited Dec 8 '18 at 13:16
Oleg
asked Dec 8 '18 at 12:49
OlegOleg
1023
asked Dec 8 '18 at 12:49
OlegOleg
1023
asked Dec 8 '18 at 12:49
OlegOleg
1023
1023
$begingroup$
Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here.
$endgroup$
– Shaun
Dec 8 '18 at 12:53
$begingroup$
Here's what I see. Please use MathJax. If you're unsure of what code to use for a symbol, try Detexify.
$endgroup$
– Shaun
Dec 8 '18 at 13:14
$begingroup$
Please try now.
$endgroup$
– Oleg
Dec 8 '18 at 13:16
$begingroup$
That's better. Thank you.
$endgroup$
– Shaun
Dec 8 '18 at 13:18
add a comment |
$begingroup$
Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here.
$endgroup$
– Shaun
Dec 8 '18 at 12:53
$begingroup$
Here's what I see. Please use MathJax. If you're unsure of what code to use for a symbol, try Detexify.
$endgroup$
– Shaun
Dec 8 '18 at 13:14
$begingroup$
Please try now.
$endgroup$
– Oleg
Dec 8 '18 at 13:16
$begingroup$
That's better. Thank you.
$endgroup$
– Shaun
Dec 8 '18 at 13:18
$begingroup$
Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here.
$endgroup$
– Shaun
Dec 8 '18 at 12:53
$begingroup$
Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here.
$endgroup$
– Shaun
Dec 8 '18 at 12:53
$begingroup$
Here's what I see. Please use MathJax. If you're unsure of what code to use for a symbol, try Detexify.
$endgroup$
– Shaun
Dec 8 '18 at 13:14
$begingroup$
Here's what I see. Please use MathJax. If you're unsure of what code to use for a symbol, try Detexify.
$endgroup$
– Shaun
Dec 8 '18 at 13:14
$begingroup$
Please try now.
$endgroup$
– Oleg
Dec 8 '18 at 13:16
$begingroup$
Please try now.
$endgroup$
– Oleg
Dec 8 '18 at 13:16
$begingroup$
That's better. Thank you.
$endgroup$
– Shaun
Dec 8 '18 at 13:18
$begingroup$
That's better. Thank you.
$endgroup$
– Shaun
Dec 8 '18 at 13:18
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%2f3031072%2ffind-the-value-of-%25ce%2594x-for-which-the-value-of-%25ce%2594y-%25ce%2594x-is-within-0-1-units-of-slope%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.
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%2f3031072%2ffind-the-value-of-%25ce%2594x-for-which-the-value-of-%25ce%2594y-%25ce%2594x-is-within-0-1-units-of-slope%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
$begingroup$
Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here.
$endgroup$
– Shaun
Dec 8 '18 at 12:53
$begingroup$
Here's what I see. Please use MathJax. If you're unsure of what code to use for a symbol, try Detexify.
$endgroup$
– Shaun
Dec 8 '18 at 13:14
$begingroup$
Please try now.
$endgroup$
– Oleg
Dec 8 '18 at 13:16
$begingroup$
That's better. Thank you.
$endgroup$
– Shaun
Dec 8 '18 at 13:18