Question

What is the derivative of `f(x)=ln(ln(7x))+ln(ln(6))`?

Answer 1

You can use the Chain Rule where: given a function `y=f[g(h(x))]` you get:

`y'=f'[g(h(x))]*g'(h(x))*h'(x)`

In your case both `f and g` are log functions anf `h` is `7x`. So you get:
`f'(x)=1/ln(7x)*1/(7x)*7=1/(xln(7x))`
The last log, `ln(ln(6))`, is a constant so its derivative is zero.