Question
d d x ( ^ -1 1+ x 2 1- x 2 ) is equal to
BITSAT
Mathematics
Differentiation
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. - 1 4
- B. 1 4
- C. - 1 2
- D. 1 2
Answer
A. - 1 4
Step-by-step solution
We have d d x ( ^ -1 1+ x 2 1- x 2 ) = d d x [ ^ -1 1+ (2 ^ 2 x 4 -1 ) 1- (1-2 ^ 2 x 4 ) ] = d d x ( ^ -1 . 2 ^ 2 x 4 2 ^ 2 x 4 ) . = d d x ( ^ -1 ^ 2 x 4 )= d d x ( ^ -1 x 4 ) = d d x ( ^ -1 ( 2 - x 4 ) )= d d x ( 2 - x 4 )=0- 1 4 =- 1 4
Related: Mathematics — Differentiation · All PYQ Banks