The left hand derivative of f(x)=[x] ( x) at x=k, k is an integer is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The left hand derivative of \(f(x)=[x] \sin (\pi x) \text { at } x=k,\) k is an integer is
- \((-1)^{k} \cdot(\mathbf{k}-1) \pi\)
- \((-1)^{k-1} \cdot(k-1) \pi\)
- \((-1)^{\mathbf{k}} \cdot \mathbf{k} \pi\)
- \((-1)^{k-1} \cdot \mathbf{k} \pi\)
Answer
(B) (-1)^ k-1 (k-1)
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