1.\:\:implicit\:derivative\:\frac{dy}{dx},\:xy=x+y
2.\:\:implicit\:derivative\:\frac{dy}{dx},\:x^{2}+y^{2}=4
3.\:\:implicit\:derivative\:\frac{dy}{dx},\:x^{3}+y^{3}=6xy
4.\:\:implicit\:derivative\:\frac{dy}{dx},\:x^{2}+y^{2}=25
5.\:\:implicit\:derivative\:\frac{dy}{dx},\:(x+2)^{2}+(y-3)^{2}=37
6.\:\:implicit\:derivative\:\frac{dy}{dx},\:\sqrt{x}+\sqrt{y}=3
7.\:\:implicit\:derivative\:\frac{dy}{dx},\:x^{\frac{2}{3}}+y^{\frac{2}{3}}=4
8.\:\:implicit\:derivative\:\frac{dy}{dx},\:y^{2}(y^{2}-4)=x^{2}(x^{2}-5)
9.\:\:implicit\:derivative\:\frac{dy}{dx},\:y=\sin(xy)
10.\:\:implicit\:derivative\:\frac{dy}{dx},\:x^{2}(x-y)^{2}=x^{2}-y^{2}
