Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2017MathematicsDifferentiation

Differentiate ⁻¹ ( 1-x 1+x ) w.r.t. x .

Options

  1. A1 1+x
  2. B1 x(1+x)
  3. C1 (1+x) x
  4. D-1 (1+x) x

Correct answer

C. 1 (1+x) x

Step-by-step solution

Let y= ⁻¹ ( 1-x 1+x ) aligned & Put x= ² & aligned &= ⁻¹ x y &= ⁻¹ ( 1- ² 1+ ² ) &= ⁻¹( 2 )=2 =2 ⁻¹ x d y d x &=2 d d x ( ⁻¹ x ) &=2 1 1+x 1 2 x = 1 x (1+x) aligned aligned

Practice Differentiation on Quantrex Academy →

More from Differentiation

The domain of the derivative of the function f(x)= x 1+|x| is 2025If x= 2^ cosec ⁻¹ t and y= 2^ ⁻¹ t ,|t| 1 then d y d x = 2025If (a+ 2 b x)(a- 2 b y)=a^2-b^2 where a>b>0 , then at ( 4 , 4 ) , dy dx = 2025If x y - y x =0 , then d y d x = 2025If y = ( _ x x )^ x , then dy dx = 2025If f(x)=x^ Sec ⁻¹ x , then f^ (2)= 2025If y= x^4 3 x-5 (x^2-3 )(2 x-3) , then ( d y d x )_ x=2 = 2025If x^2+y^2+ y=4 , then the value of d^2 y d x^2 at x=-2 is 2025 Full Differentiation list All COMEDK PYQs