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  • Can someone help me with this, - Limit , continuity and differentiability - JEE Main-11

Number of points of non diffrentiability of f(x)=x^{3}+x^{2}-1+ \sin x + \cos x will be 

  • Option 1)

    3

  • Option 2)

    2

  • Option 3)

    1

  • Option 4)

    0

 

Answers (1)

best_answer

As we have learned

Properties of differentiable functions -

The sum, difference, product and quotient of two differentiable functions is differentiable.

-

 

 

f(x) is sum of a polynomial , sin x and cos x  . Individually all of them are diffrentiable \forall  x\epsilon R 

So there sum will also be diffrentiable  \forall  x\epsilon R 

\therefore number of points of non diffrentiablity = zero 

 

 

 

 

 


Option 1)

3

Option 2)

2

Option 3)

1

Option 4)

0

Posted by

Himanshu

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