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BITSAT2023MathematicsDifferentiationActual

If f ( x )= 1+ ^2 ( x ^2 ) , then the value of f^ ( 2 )

Options

  1. A6
  2. B- 6
  3. C1 6
  4. D6

Correct answer

B. - 6

Step-by-step solution

On differentiating (i) w.r.t.x, we get f^ (x)= -2 x^2 x^2 1+ ^2 x^2 (x) Put, x= 2 in (ii), we get aligned & f ^ ( 2 )=- 2 2 ( 4 ) 1+ 1 2 & =- 2 2 3 2 =- 6 aligned

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