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Consider the following function and closed interval. f ( x ) =3 x 3 , [1, 2] If the Mean Value Theorem can be applied,

Consider the following function and closed interval.

f(x) =3x3, [1, 2]

If the Mean Value Theorem can be applied, find all values of c in the open interval

(a, b)

such that

f'(c) = f(b)-f(a)/b-a

.

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