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NDA2015MathematicsDifferentiationActual

Consider f ^ ( x )= x ^2 2 - kx +1 such that f (0)=0 and f (3)=15 f ^ (- 2 3 ) is equal to

Options

  1. A-1
  2. B1/3
  3. C1/2
  4. D1

Correct answer

D. 1

Step-by-step solution

aligned & f^ ( x )= x ^2 2 + 5 3 x +1 & f ^ ( x )= x + 5 3 & f ^ (- 2 3 )= -2 3 + 5 3 & =1 aligned So option (4) is correct.

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