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  • Help me please, - Limit , continuity and differentiability - JEE Main-12

Number of points of non - diffrentiability of f(x)=|x^{2}-4| will be 

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    4

 

Answers (1)

best_answer

As we have learned

Properties of differentiable functions -

At every corner point  f(x) is continuous but not differentiable.

ex:    | x - a |  is continuous but not differentiable at  x = a  for  a > 0 

- wherein

 

 

 

 

after taking modulus 

no. of required points =2

 

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Posted by

Himanshu

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