Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202017 Sep 2020Morning ShiftMathematicsDifferentiationActual

If (3 f(x)-2 f ( 1 x )=x ), then (f^ (2) ) is

Options

  1. A( 7 2 )
  2. B( 1 2 )
  3. C( 2 7 )
  4. D2

Correct answer

B. ( 1 2 )

Step-by-step solution

(3 f(x)-2 f ( 1 x )=x, f^ (2)= ) ? ( 3 f^ (x)-2 f^ ( 1 x ) (- 1 x^2 )=1 ) At ( (x=2) 3 f^ (2)+ 1 2 f^ ( 1 2 )=1 ) ...(i) And At ( (x= 1 2 ) 3 f^ ( 1 2 )+8 f^ (2)=1 ) ...(ii) On solving Eqs. (i) and (ii), we get ( f^ (2)= 1 2 )

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 AP EAMCET PYQs