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