Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20226 Aug 2022Evening ShiftMathematicsDifferentiationActual

If y= 1+ x 1- x , then d y d x at x= 3 is

Options

  1. A2
  2. B1 4
  3. C1 2
  4. D-1 2

Correct answer

A. 2

Step-by-step solution

aligned & y= 1+ x 1- x = 1 2 (1+ x)- (1- x) & 1 1+ x x- 1 1- x (- x) & d y d x _ at x= 3 = 1 2 1 1+ 3 3 - 1 1- 3 (- 3 ) & = 1 2 1 2 1 1+ 3 2 1 2 + 1 1- 3 2 1 2 & = 1 2 1 2+ 3 + 1 2- 3 & = 1 2 4 4-3 =2 & 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 MHT CET PYQs