x^2y^2 + xsiny = 4, Implicit Differentiation

x^2y^2 + xsiny = 4
This problem requires you to use implicit differentiation in conjunction with the product rule and the chain rule. The thing that might scare you about this problem is the xsiny part but don't worry

x^2 + xy - y^2, Implicit Differentiation

This problem requires implicit differentiation because the equation cannot be solved for y. The fun part about this problem is that you get to use the product rule on the xy term in the middle of the equation.

Click on the image below to see a lager version of my solution.