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  • Need explanation for: - Limit , continuity and differentiability - JEE Main-10

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

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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 

 

 

 

 


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Option 2)

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Option 3)

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Option 4)

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Posted by

Himanshu

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