JEE Main 2026 · 2 Apr · Shift 1, Mathematics question 18

Smooth stationary points. $\frac{\sin x}x$ is smooth with a maximum at $x=0$ (critical). Its derivative vanishes where $\tan x=x$, which in $(-2\pi,2\pi)$ happens once in $(\pi,\frac{3\pi}2)$ and once in $(-\frac{3\pi}2,-\pi)$.

Corners. Where $\sin x=0$ ($x=\pm\pi$), $|\cdot|$ makes $f$ non-differentiable: also critical.

Total $1+2+2=5$.

(C)