Question: Use Rolle's theorem to show that the function f(x)=3x4-6x2 cannot take on the same value twice on the interval [1,).Thus f(a) cannot equal f(b) for

Use Rolle's theorem to show that the function f(x)=3x4-6x2 cannot take on the same value twice on the interval [1,).Thus f(a) cannot equal f(b) for any a,bin[1,),orin other words, the function cannot take on the same value twice in this interval.

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