Question

How do you find the derivative of `ln x^(1/5)`?

Answer 1

`1/(5x)`.

Explanation:

Using the Rule of Logarithm Function,

`y=lnx^(1/5)=1/5lnx`

`:. dy/dx=d/dx{1/5lnx}=1/5d/dx{lnx}=1/5(1/x)=1/(5x)`.