Question

Differentiate y according to x: x^2+x+xy =1

Answer 1

you have to do implicit differentiation
2x + 1 + x.(dy/dx) + y = 0
then rearrange to get dy/dx =

Answer 2

2x+1+xy'+y=0

Answer 3

how can you make it into a fraction? As in: -(2x+y+1)/x

Answer 4

if you NEED to get y' ONLY in terms of x, the maybe just rearrange the original in the 1st place:
y = (1 - x - x^2)/x = (1/x) - 1 - x
so that
y' = -x^(-2) - 1

Answer 5

That makes sense now! Thank you!

Answer 6

you're welcome