Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2021MathematicsDifferentiationActual

d d x ( ⁻¹ 1+ x 2 1- x 2 ) is equal to

Options

  1. A- 1 4
  2. B1 4
  3. C- 1 2
  4. D1 2

Correct 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

Practice Differentiation on Quantrex Academy →

More from Differentiation

If x 1+y +y 1+x =0 , then d y d x = 2024If y= ⁻¹ ( x -x 1+x^ 3 2 ) , then y^ (1) is equal to 2024At x= ^2 4 , d d x ( ⁻¹( x )+ ⁻¹ (e^x ) )= 2024The slope of the tangent to the curve x=3 t^2+1 , y=t^3-1 at x=1 is: 2023If y^x=e^ y-x , then d y d x is equal to 2023If f ( x )= 1+ ^2 ( x ^2 ) , then the value of f^ ( 2 ) 2023The derivative of e^ x^3 with respect to x is 2023If y= ( 1+ 2 1- 2 ) , then d y d at = 3 4 is : 2023 Full Differentiation list All BITSAT PYQs