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AP EAMCET202421 May 2024Evening ShiftMathematicsDifferentiationActual

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

Options

  1. A1
  2. B1 2
  3. C2
  4. D7 2

Correct answer

B. 1 2

Step-by-step solution

3 f(x)-2 f ( 1 x )=x ...(i) Replacing x by 1 x , we get 3 f ( 1 x )-2 f(x)= 1 x ...(ii) Solving (i) and (ii), f(x)= 1 5 (3 x+ 2 x ) f^ (x)= 3 5 - 2 5 x^2 f^ (2)= 3 5 - 1 10 = 1 2 .

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