1.\:\:\frac{\partial}{\partial x}(xy)
2.\:\:\frac{\partial}{\partial y}(\frac{x}{y})
3.\:\:\frac{\partial}{\partial x}(\ln(x^{2}+y^{2}))
4.\:\:\frac{\partial}{\partial x}(\sqrt{x^{2}+y^{2}})
5.\:\:\frac{\partial}{\partial x}(xe^{xy})
6.\:\:\frac{\partial}{\partial y}(xe^{y})
7.\:\:\frac{\partial}{\partial x}(\ln(xy))
8.\:\:\frac{\partial}{\partial x}(e^{xy})
9.\:\:\frac{\partial}{\partial x}(xe^{y})
10.\:\:\frac{\partial}{\partial x}(13x^{5}-7x^{2}+8y^{3}+2x^{2}y^{2})
