If , prove that
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.
=
( =
.