Question

Total number of points of non-differentiability of $f\left(x\right)=[3+4sinx]$ in $[\pi ,2\pi ]$ where [.] denote the g.i.f are

• A. 5
• B. 6
• C. 8
• D. 9

Answer 1

The correct option is C 8

$f\left(x\right)=3+\left[4\sin x\right]$
$f\left(x\right)$ is non-differentiable where $g\left(x\right)=\left[4\sin x\right]$ is non differentiable
In $[\pi ,2\pi ]$, g(x) is clearly non-differentiable at 8 points.