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

UPSC NDA 2 2017 Mathematics Solved Paper

Question : 79 of 120

Marks: +1, -0

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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