Differentiate ((x^2)+1)^2

To differentiate this, we use the power rule and the chain rule. First we differentiate the outside part, which equals 2((x^2)+1). However, because the inside of the square is a function, we have to differentiate the inside too. This equals to 2x. The chain rule says that we multiply the derivative of the inside by the derivative of the outside: Doing this, we get 4x((x^2)+1)