Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2011MathematicsDifferentiation

d d x [ ² ( ⁻¹ 2+x 2-x ) ] is

Options

  1. A1 4
  2. B1 2
  3. C- 1 2
  4. D- 3 4

Correct answer

A. 1 4

Step-by-step solution

d d x ² ( ⁻¹ 2+x 2-x ) put x=2 d d x ² ( ⁻¹ . 2+ 2 2- 2 ) .= d d x ² ( ⁻¹ 1+ 1- ) = d d x ² ( ⁻¹ 2 ² 2 2 ² 2 ) = d d x ² ( ⁻¹( / 2) ) = d d x ² 2 = 1 2 d d x (1+ )= d d x ( 1 2 + 1 2 x 2 )= d d x ( 1 2 + x 4 )=(0+1 / 4)=1 / 4

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 KCET PYQs