log(x) x*------- log(10)
x*(log(x)/log(10))
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:
The answer is:
1 log(x) ------- + ------- log(10) log(10)