___ log(x) \/ x *------ log(2)
sqrt(x)*(log(x)/log(2))
Apply the quotient rule, which is:
and .
To find :
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
The derivative of is .
The result is:
To find :
The derivative of the constant is zero.
Now plug in to the quotient rule:
Now simplify:
The answer is:
1 log(x) ------------ + -------------- ___ ___ \/ x *log(2) 2*\/ x *log(2)
-log(x) ------------- 3/2 4*x *log(2)