`x^3 - xy + y^2 = 7` Find `dy/dx` by implicit differentiation.

Expert Answers
mathace eNotes educator| Certified Educator

Given: `x^3-xy+y^2=7`

`3x^2-[xdy/dx+y(1)]+2ydy/dx=0`

`3x^2-xdy/dx-y+2ydy/dx=0`

`-xdy/dx+2ydy/dx=-3x^2+y`

`xdy/dx-2ydy/dx=3x^2-y`

`dy/dx(x+2y)=3x^2-y`

`dy/dx=(3x^2-y)/(x+2y)`

``

``