Redo Problem 10.6, given y = –3(x – 4)6

Continuing on,

With the first nonzero higher-order derivative an even-numbered derivative, y is at an extreme point;
with y(6) (4)

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(1) (2) y=-18(x-4)=0 x=4 critical value y" = -90(x-4)4 y" (4)=-90(0)4 = 0 test inconclusive