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Let f(x)= \left | x^{2}-3x+2 \right | than number of points of non diffrentiability of f(x) equals 

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    4

 

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As we have learned

Properties of differentiable functions -

Absolute functions are always continuous throughout but not differentiable at their critical point.

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 |x^{2}-3x+2|= |x-1||x-2 |

|x-1| will be non diffrentiable at x=1, so overall non diffrentiable at x=1 

|x-2 | will be non diffrentiable at x=2, so overall non diffrentiable at x=2

\therefore No. of required points =2 

 

 

 

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Posted by

Himanshu

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