Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2017MathematicsDifferentiation

If ( y= ( x) ) then ( d² y d x² ) is equal to

Options

  1. A( - (1+ x) (x x)² )
  2. B( - (1+ x) x² x )
  3. C( (1+ x) (x x)² )
  4. D( (1+ x) x² x )

Correct answer

A. ( - (1+ x) (x x)² )

Step-by-step solution

Given that, ( y= ( x) (1) ) Differentiate Eq. (1) with respect to ( x ), we get [ d y d x = 1 x ( 1 x )= 1 x x ] Again, differentiate Eq. (2) with respect to ( x ), we get [ array l d² y d x = -1 (x x)² [x 1 x + x 1 ] = -(1+ x) (x x)² array ]

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