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COMEDK2013MathematicsDifferentiation

If x=A 4 t+B 4 t , then d² x d t² is equal to

Options

  1. A-16 x
  2. B16 x
  3. Cx
  4. D-x

Correct answer

A. -16 x

Step-by-step solution

We have, aligned x &=A 4 t+B 4 t d x d t &=A(- 4 t 4)+B( 4 t 4) &=-4 A 4 t+4 B 4 t aligned Again, aligned d² x d t² &=-4 A( 4 t 4)+4 B(- 4 t 4) &=-16 A 4 t-16 B 4 t &=-16[A 4 t+B 4 t]=-16 x aligned

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