Question

implicit differentiation..
x^2 +xy + y^2 = 1

Answer 1

\[\huge \frac{ d }{ dx } x^2 + \frac{ d }{ dx } xy + \frac{ d }{ dx }y^2 = \frac{ d }{ dx }1\]

Answer 2

I use the product rule for xy right?

Answer 3

yep

Answer 4

soo
f'g + fg' = y + xy'

\[\huge 2x + y + xy' + 2yy' = 0\]

Answer 5

looks good so far...

Answer 6

\[\huge y'(2y+x) = -y -2x\]
\[\Huge y' =\frac{ -y-2x }{ 2y+x }\]
?