Question
The function f(x)= ^ -1 ( x+ x) is an increasing function in
BITSAT
Mathematics
Application of Derivatives
2023
BITSAT 2023 (Memory Based Paper 1)
BITSAT Mathematics Question (2023) — Solution
Options
- A. ( 4 , 2 )
- B. (- 2 , 4 )
- C. (0, 2 )
- D. (- 2 , 2 )
Answer
B. (- 2 , 4 )
Step-by-step solution
Since, f(x)= ^ -1 ( x+ x) f ^ ( x )= 1 1+( x + x )^2 ( x - x ) = 2 (x+ 4 ) 1+( x+ x)^2 f(x) is increasing if f^ (x)>0 (x+ 4 )>0 - 2 < x+ 4 < 2 - 3 2 < x+ 4
Related: Mathematics — Application of Derivatives · All PYQ Banks