Q

# 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

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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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