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Question

If y=cos2x, then dydx=?


A

sin 2x

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B

- sin 2x

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C

2 cos x

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D

none of these

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Solution

The correct option is A

- sin 2x


y=(cosx)2
cosx = u ......(1)
dudx=sinx ......(2)
y=u2
dydx=dydu×dudx
=(2u)× (-sinx)
=(2cosx)(-sinx)
=-sin2x ( sin 2x=2sinx cosx )


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