___ \/ x *log(x)
d / ___ \ --\\/ x *log(x)/ dx
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
The derivative of is .
The result is:
Now simplify:
The answer is:
1 log(x) ----- + ------- ___ ___ \/ x 2*\/ x
-log(x) -------- 3/2 4*x
-2 + 3*log(x) ------------- 5/2 8*x
-2 + 3*log(x) ------------- 5/2 8*x