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NDA - Continuity & Differentiability Test 1180
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NDA - Continuity & Differentiability Test 1180
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  • Question 1/5
    1 / -0.33
    The function  is

    Solutions

    The graph of the function is shown in the figure.

    We can see that the function is continuous at all the points.

    And differentiable at all points except x=-1, 1

  • Question 2/5
    1 / -0.33
    The function  is :
    Solutions

    As we know that  is a continuous function.

    And  is also a continuous function.

    So,  is also a continuous function.

  • Question 3/5
    1 / -0.33
    Let  , then the value of  is
    Solutions

    We have,

      

      for all

     

  • Question 4/5
    1 / -0.33
    Let  be a function satisfying

     for all  .

    if  and  , then  is equal to

    Solutions

    We have,

    Putting  and , we get

     

     

     

     

     

     

  • Question 5/5
    1 / -0.33
    The number of values of x[0, 2] at whichis not differentiable at
    Solutions

     is continuous everywhere but not differentiable atis continuous everywhere but not differentiable at x = 1, and tan x is continuous in [0, 2] except at

    Hence, f(x) is not differentiable at x =1/2,1,π/2

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