BITSAT2024MathematicsDifferentiationActual
At x= ^2 4 , d d x ( ⁻¹( x )+ ⁻¹ (e^x ) )=
Options
- A1 e ^ ^2 2 -1 - 1
- B4 + 1 e ^ ^2 + e ^ ^2 / 2
- C1 e ^ ^2 + e ^ ^2 / 2 + 2 ( 2 )
- D1 e ^ + 1
Correct 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