Question

Let f(x) = ln(x^7) and g(x) = (ln(x))^7. Then

(df)/(dx) =

Answer 1

for logs the derivative dy/dx = f'(x)/f(x)

f(x) = x^7 f'(x) = 7x^6

df(x)/dx = 7x^6/x^7
= 7/x

Answer 2

what if its (df)/(dx)|_(x = 1)?