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.

=

( =

.