Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2012MathematicsDifferentiation

If y= [ ( 4 + x 2 ) ] , then d y d x =

Options

  1. Ax
  2. Bx
  3. Ccosec x
  4. Dx 2

Correct answer

A. x

Step-by-step solution

We have, y= [ ( 4 + x 2 ) ] So , d y d x = 1 ( 4 + x 2 ) ² ( 4 + x 2 ) 1 2 = 1 2 ( 4 + x 2 ) ( 4 + x 2 ) = 1 [2 ( 4 + x 2 ) ] = 1 x = x

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