i have the graph of the derivative of f
the graph seems to make W shape with another loop
it seems to have 4 roots that are on the positive side of the x axis
all of these roots are in order starting with the first nearest to the origin...
the first root is just the line going down from above the x axis to below the x axis.
the second root is the line looping back up from below the x axis but it only touches the x axis and loops back down.... however, in this case, the touch to the x axis is not smooth but is more like a "kink", sharp pointy...
the third root is just the line looping back up again and this time going from the bottom of the x axis, through the x axis to the top of the x axis...
the fourth root is just the line looping back down from the tope of the x axis but smoothly looping back up just after barely touching the x axis... so this time there was no kink or sharpness... just plain smooth loop...
see additional details below...
2007-08-30
10:29:47
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2 answers
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asked by
quizzical
1