- #1

karush

Gold Member

MHB

- 3,269

- 5

Find y' of $2x^2+x+xy=1

$\begin{array}{lll}

\textit{separate variables}

&xy=2x^2+x+1 \implies y=\dfrac{2x^2+x+1}{x}\implies 2x+1+x^{-1}

&(1)\\ \\

\textit{differencate both sides}

&y'=2-\dfrac{1}{x^2}

&(2)

\end{array}

ok it seems we can do any implicit differentiation by separation or not?

I think I got the right answer hopefully