"Top Ten Student Errors"

[Abrayo]

<p>AP</a> Central - Exam Tips: Calculus BC</p>

<p>Scroll down to about half of the page and you'll find them.</p>

<ol>
<li>Is not correct because it has to be decreasing on one side and increasing on the other. . . ? When would this not be correct?</li>
<li>I don't understand why this is wrong. Is it because it could be a local max/min, and not necessarily the max/min of the whole function?</li>
<li>How else do you calculate the rate of change?</li>
<li>It's R2-r2, right? Instead of (R-r)2?</li>
</ol>

<p>The rest I understand.</p>

<p>Are there any errors you know people do, whether it is yourself or others in your class?</p>

[314159265]

<ol>
<li><p>If the double-derivative is increasing both before and after the point. Or if the double-derivative is decreasing both before and after the point.</p></li>
<li><p>Pretty much. A relative max/min usually has f’(x)=0, but that’s not necessarily true for the global max/min.</p></li>
<li><p>Slope. Take (a,f(a)) and (b,f(b)) and plug it into y2-y1/x2-x1.</p></li>
<li><p>Yes. R^2-r^2.</p></li>
</ol>