NDA 2022 Mathematics question

Consider the following statements in respect of the function , where is the greatest integer function : 1. Its derivative is 0 at 2. It is continuous at Which of the above statements is/are correct?

(A)1 onlyCorrect
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2

Answer: (A)

Solution

On : for and for . 1: near the function is the constant 0, so its derivative there is 0; correct.

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Question ID VK-029347