Question: f(x)=x 3 12x a) This function has two critical points(x,y) (x,y). Identify all of them. Just typex yvalues, do not use parentheses. Order them so

f(x)=x312x

a) This function has two critical points(x,y)

(x,y). Identify all of them. Just typex

yvalues, do not use parentheses. Order them so thatx

xis in ascending order, i.e., the point with smallestx

x-coordinate goes first.

1.(, )

2 (,)

b)Determine if the critical points from step a) (use the same order) are relative maxima/minima or not. TypeMaxif the point is the relative maximum;Minif the point is the relative minimum;Noif the point is not relative extremum.

1.Answer

2.Answer

c) Identify the inflection point(x,y)

(x,y)

(, )

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