# How do you differentiate #y=ln[(x+9)^6(x+6)^2(x+5)^3]#?

##### 1 Answer

First use properties of logarithms to expand this as a sum and then differentiate to get

#### Explanation:

Properties of logarithms allow us to write

Continuing, this is also equal to

This is now easy to differentiate (and the use of the Chain Rule is trivial) to get

Getting a common denominator gives

We continue to simplify:

So