Given: log [log (log x⁵)]

To Find: Differentiate the given function w.r.t x

Let Assume y= log [log (log x⁵)]

y= log [log (log x⁵)]

Let log(log x⁵) = u

Let Assume log x⁵=v

Let Assume x⁵=w

Differentiate both side w.r.t x

Now, Bu using chain rule we get, Differentiation of log [log (log x⁵)]

Now, Substitute the value of u , v and w then, we get

Hence, This the differentiation of given function.