The left hand derivative of f ( x ) = [ x ] sin(π x ) at k , k an integer is
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
The left hand derivative of f(x) = [x] sin(πx) at k, k an integer is
- (–1)k (k–1)
- (–1)k–1(k–1)
- (–1)k k
- (–1)k–1k
Answer
(B) (–1) k –1 ( k –1) π
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