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Question

If y=sin x +y, then dydx is equal to

A
cos x12y
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B
cos x2y1
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C
sin x12y
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D
sin x2y1
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Solution

The correct option is B cos x2y1
Given that,
y=sin x +ySquaring both sides, we gety2=sin x +yDifferentiating w.r.t. x both sides, we get2ydydx=cos x +dydx(2y1)dydx=cos xdydx=cos x(2y1)

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