3 log(x) x *------*log(2) log(2)
(x^3*(log(x)/log(2)))*log(2)
The derivative of a constant times a function is the constant times the derivative of the function.
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
The derivative of is .
The result is:
So, the result is:
So, the result is:
Now simplify:
The answer is:
/ 2 2 \ | x 3*x *log(x)| |------ + -----------|*log(2) \log(2) log(2) /