# How do I find the derivative of # ln[x(x^2+1)^2/(2x^3-1)^(1/2)] #?

##### 1 Answer

Use the properties of logarithms and the

#### Explanation:

Begin by using the properties of logs to write:

Now we can take the derivative of this term by term.

**Term 1: #ln(x)#**

This is the easiest, as the derivative of

**Term 2: #2ln(x^2+1)#**

We need to use the chain rule for this one. We first apply the derivative of

**Term 3: #1/2ln(2x^3-1)#**

We use the same process as term 2. Use

Put all of these together to get the final result: