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I'm having trouble solving this multiple choice problem. A critter is moving along a horizontal wire with position function x(t)=t 4 -8t 3 +18t 2

I'm having trouble solving this multiple choice problem.

A critter is moving along a horizontal wire with position function x(t)=t4-8t3+18t2-216t+1 for t (interval) [0,4]. What is the critter's velocity at the time when the critter attains its minimum acceleration.

(A) -216 (B) -240 (C) -208 (D) -407 (E) -12

Thank you so much for your help!

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