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Concavity & inflection:
find f''
solve for x where it is 0 OR undefined
use points as intervals
make chart to validate inflection points
write CCU or D for signs
solve for the y values in original f

Second deriv test to find relative extrema:
find first deriv
solve for x = 0
use as x value for points in a chart
find y value using original function (calculator)
find second deriv and plug in x values
relative min and max are " y at x = (x)"

determine crit numbers:
find derivative
set to 0 if defined

determine wether function is increasing or decreasing (relative extrema as well)
find crit numbers
use numbers as intervals
f into y1 & f' into y2
use table to find sign of the test values
positive sign means inc.

inflection point means switching concave not guaranteed extrema
     
 
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