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Question

If y=sin1(x1x+x1x2), then dydx=

A
2x1x2+12xx2
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B
11x212xx2
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C
11x2+12xx2
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D
None of these
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Solution

The correct option is C 11x2+12xx2
Putting x=sin A and x=sin By=sin1(sin A1sin2B+sin B1sin2A)=sin1[sin(A+B)]=A+B=sin1x+sin1xdydx=11x2+12xx2

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