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Question: Answered & Verified by Expert
[.] represents the greatest integer function. At $x=-1, \frac{d}{d x} \sin \pi[x]=$
MathematicsDifferentiationAP EAMCETAP EAMCET 2022 (06 Jul Shift 2)
Options:
  • A 0
  • B 2
  • C -2
  • D $1 / 2$
Solution:
2143 Upvotes Verified Answer
The correct answer is: 0
$\begin{aligned} & \text { Let } y=[x] \\ & y \in z \\ & \Rightarrow \quad \sin \pi y=0 \\ & \Rightarrow \quad \frac{d}{d x} \sin \pi[x]=0 \Rightarrow \frac{d}{d x} \sin \pi[-1]=0\end{aligned}$

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