**Differentiate the function: f(x) = ln(tanx^2)**

**Answer:**

The derivative of ln(x) is just 1/x. So in this case it would be 1/(tan^2(x)). Now we also must apply the chain rule in this case, so the derivative of tan^2(x) is 2tan(x)sec^2(x). now the answer becomes (2tan(x)sec^2(x))/tan^2(x) which simplifies to 2csc(x)sec(x).