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Solve! - Limit , continuity and differentiability - JEE Main-11

Number of points of non diffrentiability of f(x)= \tan ^{-1}x will be 

  • Option 1)

    0

  • Option 2)

    1

  • Option 3)

    2

  • Option 4)

    infinite

 
Answers (1)
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As we have learned

Properties of differentiable functions -

Trigonometric and inverse trigonometric functions are differentiable in their respective domain.

-

 

 f(x)= \tan ^{-1}  has domain R and there is no x where it will give vertical tangent so no. of points of non - diffrentiability of f(x) will be zero 

 

 

 

 

 


Option 1)

0

Option 2)

1

Option 3)

2

Option 4)

infinite

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