[.] represents the greatest integer function. At $x=-1, \frac{d}{d x} \sin \pi[x]=$

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Aicharya · Accepted Answer

$\begin{aligned} & 	ext { Let } y=[x] \ & y \in z \ & \Rightarrow \quad \sin \pi y=0 \ & \Rightarrow \quad \frac{d}{d x} \sin \pi[x]=0 \Rightarrow \frac{d}{d x} \sin \pi[-1]=0\end{aligned}$

[.] represents the greatest integer function. At $x=-1, \frac{d}{d x} \sin \pi[x]=$

Solution