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Q.

If y=xlog⁡x+1+x2−1+x2 then dydx=

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a

logx−1+x2

b

12logx+1+x2

c

sinh−1x

d

cosh−1x

answer is C.

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Detailed Solution

ddx=x⋅11+x2+log(x+1+x2)−x1+x2=log(x+1+x2)=Sinh−1x.
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