Chapter 3 test question #9

Hey guys this is Izzy and I am going to explain how to do problem 9 from the test.

The Question asks:

Differentiate the function:


Ok, first you think: properties of logarithmic functions. Three of these properties are:



So, you apply that to this function and get:

then you differentiate, to make the whole process easier. Because if we had used the product and quotient rules, man, that would have been messy.
So, to differentiate, we remember that



We must remember to take the derivative if whatever u is even after placing a 1 over the u. So, using this property, we get:

or