RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 29 of Exercise 17.2

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29

Prove that the function f given by f(x) = x – [x] is increasing in (0, 1) ?

we have,

f(x) = x – [x]


f'(x) = 1 > 0


f(x) is an increasing function on (0,1)


Chapter Exercises

More Exercise Questions

26

Find the interval in which is increasing or decreasing ?