AP EAMCET · Maths · Differentiation
[.] represents the greatest integer function. At \(x=-1, \frac{d}{d x} \sin \pi[x]=\)
- A 0
- B 2
- C -2
- D \(1 / 2\)
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Let } y=[x] \\ & y \in z \\ & \Rightarrow \quad \sin \pi y=0 \\ & \Rightarrow \quad \frac{d}{d x} \sin \pi[x]=0 \Rightarrow \frac{d}{d x} \sin \pi[-1]=0\end{aligned}\)
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