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If y cosxsinxthendydx=cos2(3x2)-sin2(3x2),then d2ydx2 is ____________. -

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Question

If y `= "cos"^2 ((3"x")/2) - "sin"^2 ((3"x")/2), "then"  ("d"^2"y")/("dx"^2)` is ____________.

Options

  • `- 3 sqrt(1 - "y"^2)`

  • 9 y

  • - 9 y

  • `3 sqrt(1 - "y"^2)`

MCQ
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Solution

If y `= "cos"^2 ((3"x")/2) - "sin"^2 ((3"x")/2), "then"  ("d"^2"y")/("dx"^2)` is - 9 y.

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