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Question

Derivative of sin11x+cos1x. is

A
1(x)(1x).
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B
1(x)(1+x).
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C
1(x)(1x).
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D
1(x)(1+x).
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Solution

The correct option is A 1(x)(1x).
Let y=sin11x+cos1x.
Put x=cosθx=cos2θ
y=sin1sinθ+θ=θ+θ=2θ=2cos1x
dydx=2(1x)12(x)=1(x)(1x).

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