Question 1163582
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For a local extremum, the first derivative must be zero.  For a maximum, the second derivative is negative, for a minimum, the second derivative is positive.


A point of inflection occurs when the second derivative changes sign.  So the point must have a zero second derivative and the second derivative on one side needs to be the opposite sign  of the second derivative on the other side.


A function is increasing on an interval if the first derivative is positive at every point on the interval.  A function is decreasing on an interval if the first derivative is negative at every point on the interval.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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