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Question

Let f(x) = x – [x], x ∈ R. Then f '13 =__________________.

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Solution

Given, f(x) = x – [x]
For 13 we know 13 = 0
i.e f(x) = x – [x] = {x} = x since x = 13
∴ f'(x) = 1 at x = 13
i.e f'13 = 1

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