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Unformatted text preview: to negative on the right. The point ( is a relative minimum if f’ changes from negative on the left of x=c to positive on the right. If the sign of the derivative does not change at x=c then the point ( is neither a max nor a min. )) ( , c f c )) ( , c f c )) ( , c f c To graph by hand (using only the first derivative) 1) Find the x and y intercepts (when possible) 2) Find the critical values and use the first derivative test to determine relative extrema 3) Plot all information on the graph. 4) Connect the dots. #16 Note: Sometimes a function has no critical values. In this case it can have neither max nor min values. To get a graph of such a function we need to plot several additional points....
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This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.
 Fall '05
 PamelaSatterfield
 Derivative

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