log(2)*log(3)*log(5*x)
d --(log(2)*log(3)*log(5*x)) dx
The derivative of a constant times a function is the constant times the derivative of the function.
Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The result of the chain rule is:
So, the result is:
The answer is:
log(2)*log(3) ------------- x
-log(2)*log(3) --------------- 2 x