log(x) ------ ___ \/ x
d /log(x)\ --|------| dx| ___ | \\/ x /
Apply the quotient rule, which is:
and .
To find :
The derivative of is .
To find :
Apply the power rule: goes to
Now plug in to the quotient rule:
Now simplify:
The answer is:
1 log(x) ------- - ------ ___ 3/2 x*\/ x 2*x
3*log(x) -2 + -------- 4 ------------- 5/2 x
46 - 15*log(x) -------------- 7/2 8*x