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Question

If y=|cos x|+|sin x| then dydx at x=2π3 is:


A

12(3+1)

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B

2(31)

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C

12(31)

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D

14(31)

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Solution

The correct option is C

12(31)


Since sinx is positive and cosx is negative in the second quadrant, y=cos x+sin x
dydx=sinx+cosx
dydx at 2π3=12(31)


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