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KCET2007MathematicsDifferentiation

If y= ² 3 x 2 - ² 3 x 2 , then d² y d x² is

Options

  1. A-3 1-y²
  2. B9 y
  3. C-9 y
  4. D3 1-y²

Correct answer

C. -9 y

Step-by-step solution

Given, y= ² 3 x 2 - ² 3 x 2 aligned & y= ² 3 x 2 - (1- ² 3 x 2 ) & y=2 ² 3 x 2 -1 aligned aligned & d y d x =2-2 3 x 2 (- 3 x 2 ) ( 3 2 ) & d y d x =-6 3 x 2 3 x 2 & d² y d x² =-6 [ 3 x 2 ( 3 x 2 ) 3 2 - 3 x 2 . & d² y d x² =-9 [ ² 3 x 2 - ² 3 x 2 ] & d² y d x² =-9 y aligned

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