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The number of points in the domain of 'f...

The number of points in the domain of 'f' where
`f(x)=|x^(2)-4x+3| sin (tan(x-1) tan (sin(x-3)+|x^(2)-x-2| cos (sin (x+1)) sin (cos(x-2)+|x^(2)+2x|`
`(e^(x)-1) sgn(x+2)` (where sgn(x) si signum function) is not differentiable is

Text Solution

Verified by Experts

The correct Answer is:
2
The possible points of non differentiability
are `x=-2,-1,0,1m2m3`
but f(x) is differentiable at `x=-2,0,1,3`
and not differentiable at `x=-1,2`
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