Question

In Exercise, find dy/dx implicity.
y2 + xy = 7

Answer 1

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

Explanation:

Differentiating, y2 + xy = 7, implicitly with respect to x, you find that

2y.
`(dy)/(dx)` + y + x.
`(dy)/(dx)` = 0

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

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