Respuesta :

nobillionaireNobley
X(t) = 1/4t^4 - t^3 + t^2
For the object to move right, X'(t) < 0
X'(t) = t^3 - 3t^2 + 2t < 0
t(t^2 - 3t + 2) < 0
t(t - 2)(t - 1) < 0
t > 0, t > 2, t < 1

Therefore, required interval is [0, 1] ∪ [2, ∞)

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