Q10 of 292 Page 569

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Given that y=sin(xx)


Let xx=u, then y=sin u


Differentiating with respect to x, we get


–(1)


Also, u=xx


Taking log both sides, we get


Loge u=x × loge x



Differentiating with respect to x, we get




⇒ -(2)


From (1) and (2), we get


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