Q. 355.0( 2 Votes )

If y = sin (x<sup

Answer :

Here,


y = sin (xx) ……(i)


Let ……(ii)


Taking log on both sides,


log u = log


log u = x log x


Differentiating both sides with respect to x,







[from (ii)]


Now, using equation (ii) in (i)


y = sin u


Differentiating both sides with respect to x,




Using equation (ii) and (iii),



Hence Proved.


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