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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Functions

NDA 2022 · Mathematics · Functions

Consider the following statements in respect of the function y=[x],...

Consider the following statements in respect of the function y=[x],x∈(−1,1)y=[x], x \in(-1,1) where [.] is the greatest integer function: 1. Its derivative is 0 at x=0.52.Itiscontinuousatx=0.5 2. It is continuous atx=0Whichoftheabovestatementsis/arecorrect?Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution


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