Answer :


Given :


To show :


Formula used : =


=



If u and v are functions of x,then = u + v


The CHAIN RULE states that the derivative of f(g(x)) is f’(g(x)).g’(x)


y =


taking log on both sides


log y = log


log y = log a


taking log on both sides


log(log y) = log()


log(log y) = y.logx + log()


Differentiating both sides with respect to x


= + 0 (as differentiation of log() [constant] is zero )


= + y.


= + y.


=


( =


.



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