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Which of the following is differentiable...

Which of the following is differentiable in the interval `(1, 2)`?

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Differentiability in an Interval

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Let f,g : [-1,2] to be continuous functions which are twice differentiable on the interval (-1,2). Let the values of f and g at the points and 2 be as given in the following table: In each of the intervals (-1,0) and (0, 2) the function (f-3g) never vanishes. Then the correct statements(s) is(are) :

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