Find the critical numbers of the function.

f(x) = x-7ln(x)

x =

ANswer:

Given the function is:
F(x)=x-7ln(x)
to find the critical points set f'(x)=0 Therefore

1-7/x=0
-> 1=7/x
-> x=7

Therefore, the only critical point of the function f(x) is at x-7