Question

If 4(x-y^3)-xy=16 ,evaluate dy/dx at the point (2,3)?

Answer 1

`(dy)/dx|_(x=2,y=3) = 1/110`

Explanation:

`4(x-y^3)-xy = 16`
Differentiate with respect to `x`:
`4(1-3y^2(dy)/dx)-y-x(dy)/dx = 0`
`(dy)/dx = (4-y)/(x+12y^2)`

`(dy)/dx|_(x=2,y=3) = 1/110`