Question

How do you find the derivative of `root4(lnx)`?

Answer 1

`(df)/(dx)=1/(4x(root(4)lnx)^3)`

Explanation:

We use the chain rule here.

As `f(x)=(lnx)^(1/4)`

`(df)/(dx)=1/4xx(lnx)^(1/4-1)xx1/x`

or `(df)/(dx)=1/4xx(lnx)^(-3/4)xx1/x`

i.e. `(df)/(dx)=1/(4x(root(4)lnx)^3)`