RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 17. Increasing and Decreasing Functions

Subject: Maths - Class 12th

Q. No. 24 of Exercise 17.2

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24

Show that f(x) = tan–1 x – x is a decreasing function on R ?

we have,

f(x) = tan–1 x – x




Now,







Hence, f(x) is an decreasing function for R


Chapter Exercises

More Exercise Questions

26

Find the interval in which is increasing or decreasing ?