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JEE Main20246 Apr 2024Morning ShiftMathematicsDifferentiationActual

If f(x)= array l x^3 ( 1 x ), x 0 0 , x=0 array . then

Options

  1. Af^ ( 2 )= 24- ^2 2
  2. Bf^ ( 2 )= 12- ^2 2
  3. Cf^ (0)=1
  4. Df^ (0)=0

Correct answer

A. f^ ( 2 )= 24- ^2 2

Step-by-step solution

aligned & f^ (x)=3 x^2 ( 1 x )-x ( 1 x ) & f^ (x)=6 x ( 1 x )-3 ( 1 x )- ( 1 x )- ( 1 x ) x & f^ ( 2 )= 12 - 2 = 24- ^2 2 aligned

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