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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 B
y=sin1(sin A1sin2B+sin B1sin2A)
=sin1[sin(A+B)]=A+B=sin1x+sin1x
dydx=11x2+12xx2


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