https://wiki.ubc.ca/api.php?action=feedcontributions&feedformat=atom&user=YichenXuUBC Wiki - User contributions [en]2026-05-16T20:10:35ZUser contributionsMediaWiki 1.43.8https://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(e)/Statement&diff=195856Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (e)/Statement2012-10-12T03:58:30Z<p>YichenXu: </p>
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<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
Find the coordinates of all local maxima, local minima, and inflection points. <br />
Be sure to indicate which is which.</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Thread:User_talk:YichenXu/flags/reply&diff=195555Thread:User talk:YichenXu/flags/reply2012-10-11T01:05:12Z<p>YichenXu: Reply to flags</p>
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<div>Hi,<br />
Bernhard has already emailed me about the flag thing, actually he gave quite detailed explain on it and I'm try to figure it out now...<br />
Thank you~<br />
<br />
hope I can get used to it soon...<br />
<br />
Roxanne</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(d)/Statement&diff=195391Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (d)/Statement2012-10-09T23:01:29Z<p>YichenXu: </p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
On which intervals is f(x) concave up? On which intervals is f(x) concave down?<br />
<br />
[[Category:MER RQ flag]]</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(e)/Statement&diff=195390Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (e)/Statement2012-10-09T23:00:35Z<p>YichenXu: </p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
Find the coordinates of all local maxima, local minima, and inflection points. <br />
Be sure to indicate which is which.<br />
<br />
[[Category:MER RQ flag]]</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(e)/Statement&diff=195388Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (e)/Statement2012-10-09T22:59:38Z<p>YichenXu: </p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
Find the coordinates of all local maxima, local minima, and inflection points. <br />
Be sure to indicate which is which.<br />
<br />
[Category:MER RQ flag]</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(e)/Statement&diff=195385Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (e)/Statement2012-10-09T22:54:26Z<p>YichenXu: </p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
Find the coordinates of all local maxima, local minima, and inflection points. <br />
Be sure to indicate which is which.<br />
<br />
<nowiki> [[Category:MER RQ flag]] </nowiki></div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(d)/Statement&diff=195175Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (d)/Statement2012-10-08T23:30:30Z<p>YichenXu: </p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
On which intervals is f(x) concave up? On which intervals is f(x) concave down?<br />
<br />
[[Category:MER RQ flag]]</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(e)/Statement&diff=195174Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (e)/Statement2012-10-08T23:28:57Z<p>YichenXu: </p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
Find the coordinates of all local maxima, local minima, and inflection points. <br />
Be sure to indicate which is which.<br />
<br />
[[Category:MER RQ flag]]</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(e)/Statement&diff=195173Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (e)/Statement2012-10-08T23:20:51Z<p>YichenXu: Created page with "Consider the function :<math> f(x) = \frac{x^3+x^2-2x-3}{x^2-3} </math> Its first and second derivatives are given by :<math> f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2} </math>..."</p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
Find the coordinates of all local maxima, local minima, and inflection points. <br />
Be sure to indicate which is which.</div>YichenXuhttps://wiki.ubc.ca/index.php?title=Science:Math_Exam_Resources/Courses/MATH104/December_2011/Question_02_(d)/Statement&diff=195172Science:Math Exam Resources/Courses/MATH104/December 2011/Question 02 (d)/Statement2012-10-08T23:16:59Z<p>YichenXu: Created page with "Consider the function :<math> f(x) = \frac{x^3+x^2-2x-3}{x^2-3} </math> Its first and second derivatives are given by :<math> f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2} </math>..."</p>
<hr />
<div>Consider the function<br />
:<math><br />
f(x) = \frac{x^3+x^2-2x-3}{x^2-3}<br />
</math><br />
<br />
Its first and second derivatives are given by<br />
:<math><br />
f'(x) = \frac{(x^2-1)(x^2-6)}{(x^2-3)^2}<br />
</math><br />
and<br />
:<math><br />
f''(x) = \frac{2x(x^2+9)}{(x^2-3)^3}<br />
</math><br />
<br />
On which intervals is f(x) concave up? On which intervals is f(x) concave down?</div>YichenXuhttps://wiki.ubc.ca/index.php?title=User:YichenXu&diff=194713User:YichenXu2012-10-05T19:05:37Z<p>YichenXu: Created page with "Category:MER Participant"</p>
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<div>[[Category:MER Participant]]</div>YichenXu