Continuity and DifferentiabilityHard

Question

If f(x) = sin , 1 < x < 2 and [x] denotes the greatest integer less than or equal to x, then f′ is equal to -

Options

A.5
B.-5
C.0
D.None of these

Solution

f(x) = sin 1 < x < 2; [x] = 1
f(x) = sin f′(x) = cos × -5x4
f′ = 1 × - 5 ×

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