Question
At x= ^2 4 , d d x ( ^ -1 ( x )+ ^ -1 (e^x ) )=
BITSAT
Mathematics
Differentiation
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 1 e ^ ^2 2 -1 - 1
- B. 4 + 1 e ^ ^2 + e ^ ^2 / 2
- C. 1 e ^ ^2 + e ^ ^2 / 2 + 2 ( 2 )
- D. 1 e ^ + 1
Answer
A. 1 e ^ ^2 2 -1 - 1
Step-by-step solution
d d x ( ^ -1 ( x )+ ^ -1 ( e ^x ) ) = (- x ) 1+ ^2 x ( 1 2 x )+ 1 e^x e^ 2 x -1 e^x but when x= ^2 4 =- - 2 1+ ^2 2 ( 1 2 ) ( 2 )+ 1 e^ ^2 / 2 -1 =- 1 + 1 e^ ^2 / 2 -1
Related: Mathematics — Differentiation · All PYQ Banks