# 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

H Himanshu

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

Exams
Articles
Questions