Consider the following function. f(x) = x4 - 16x3 + 72x2 + 2 (a) Make a sign diagram for the first derivative. v ---Select--- 3 f "(x) >0 f "(x)

0 f "(x) < 0="" f="" (x)="0" ---select---="" o="" ---select---="" o="" ---select---="" ---select---="" e="" x="x" =="" (b)="" ma="" am="" for="" the="" second="" derivative.="" undefined="" ---seiect---="" e="" ---select---="" e="" ---select---="" o="" ---select---="" e="" ---select---="" 8="" x="X" =="" (c)="" sketch="" the="" graph,="" showing="" all="" relative="" extreme="" points="" and="" inflection="" points.="" "/="">
Extracted text: Consider the following function. f(x) = x4 - 16x3 + 72x2 + 2 (a) Make a sign diagram for the first derivative. v ---Select--- 3 f "(x) >0 f "(x) < 0="" f="" (x)="0" ---select---="" o="" ---select---="" o="" ---select---="" ---select---="" e="" x="x" =="" (b)="" ma="" am="" for="" the="" second="" derivative.="" undefined="" ---seiect---="" e="" ---select---="" e="" ---select---="" o="" ---select---="" e="" ---select---="" 8="" x="X" =="" (c)="" sketch="" the="" graph,="" showing="" all="" relative="" extreme="" points="" and="" inflection="">