Question

What is the derivative of (See Below):

Answer 1

\[y = \ln \sqrt[3]{(x^2)/(x^2+1)}\]

Answer 2

(x^2)/(x^2+1) is inside the entire Cube root.

Answer 3

You can actually simplify this a lot using rules of logarithms.
Simplifying you get:
(1/3)[2lnx - ln(x^2 +1)]
Remember how to take the derivative of an ln function?

Answer 4

1st Derivative over the Original Equation

Answer 5

Yes!