Differentiate the functions

1. $$x^2\sin (x^2)$$
2. $$\cos (x)\ln (x{)}^2$$
3. $$\sqrt{x^2+2x}(x^3-1)$$
4. $$\sin (\sqrt{x})\cos (x^2)$$

You will need to use a combination of the product rule and the chain rule.