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If y = 5 cos x – 3 sin x, then dydxd2ydx2 is equal to: -

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Question

If y = 5 cos x – 3 sin x, then `("d"^2"y")/("dx"^2)` is equal to:

Options

  • –y

  • y

  • 25y

  • 9y

MCQ

Solution

–y

Explanation:

y = 5 cos x – 3 sin x

`"dy"/"dx"` = −5 sin x − 3 cos x

`("d"^2"y")/("dx"^2)` = −5 cos x + 3 sin x

= −y

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