The left-hand derivative of f(x)=[x]\sin(\pix)\text{at}x=k where k is an integer and [x] is the greatest integer function, is [NDA II 2017]

Correct Answer is : (−1)k(k−1)π

NDA Math Limit, Continuity and Differentiability

Question : 46 of 105

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The left-hand derivative of f(x)=[x]‌sin(πx)‌at‌x=k where k is an integer and [x] is the greatest integer function, is

[NDA II 2017]

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