Consider the following statements in respect of the function y=[x], x (-1,1) where [.] is the greatest integer function: 1. Its derivative is 0 at x=0.5 2. It is continuous at x=0 Which of the above statements is/are correct?

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Quantrex Academy · Accepted Answer

Correct answer: A. 1 only

Slope of tangent at x =0 is 0 . So, desirative is 0 It is clear from graph function is discontinuous at x =0 .

Consider the following statements in respect of the function y=[x], x (-1,1) where [.] is the greatest integer function: 1. Its derivative is 0 at x=0.5 2. It is continuous at x=0 Which of the above statements is/are correct?

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