Consider the following function.f(x) = x4 – 8×3 + 18×2 + 8(a) Make a sign diagram for the first derivative.—Select——Select——Select——Select——Select—Xf'(x) >0X=f’ (x) <0f ' (x) =0(b) Make a sign diagram for the second derivative.undefined---Select------Select------Select------Select------Select---X =X =(c) Sketch the graph, showing all relative extreme points and inflection points.y401IPIPIP20/IP-4- X-22- X4-4-224-20-20O-40-O-40
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