log(x) - 2 ---------- x
(log(x) - 2)/x
Apply the quotient rule, which is:
and .
To find :
Differentiate term by term:
The derivative of the constant is zero.
The derivative of is .
The result is:
To find :
Apply the power rule: goes to
Now plug in to the quotient rule:
The answer is:
1 log(x) - 2 -- - ---------- 2 2 x x
-7 + 2*log(x) ------------- 3 x
23 - 6*log(x) ------------- 4 x