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Solve it, - Limit , continuity and differentiability - JEE Main-7

Number of points of non diffrentiability of f(x)=\sin (\cos x) in (-\infty ,\infty ) will be

  • Option 1)

    infinite

  • Option 2)

    0

  • Option 3)

    1

  • Option 4)

    2

 
Answers (1)
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As we have learned

Properties of differentiable functions -

The composition of a differentiable function is a differentiable functions.

-

 

 f(x)= \sin (\cos x)

Let g(x)= \sin x  and h(x)= \cos x

then f(x) =g(h(x)) which is a composition of two diffrentiable function g(x) and h(x) so f(x) will also be diffrentiable 

\therefore No . of required points = zero 

 

 

 

 


Option 1)

infinite

Option 2)

0

Option 3)

1

Option 4)

2

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