Show that the point of inflection of f ( x ) x ( x 2 4 ) 2 lies midway between the relative extrema of f Begin by finding the first derivative f Next, find the second derivative f Then, find the relative extrema smaller x value ( x , y ) larger x value ( x , y ) Finally, find the inflection point ( x , y ) This confirms that the inflection point is midway between the relative extrema of f

Question

Show that the point of inflection of f ( x )   x ( x 2 4 ) 2 lies midway between the relative extrema of f   Begin by finding the first derivative  f   Next, find the second derivative  f   Then, find the relative extrema  smaller x   value ( x , y )   larger x   value ( x , y )   Finally, find the inflection point  ( x , y )   This confirms that the inflection point is midway between the relative extrema of f

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Show that the point of inflection of f ( x ) = x ( x 2 4 ) 2 lies midway between the relative extrema

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