Question

Find dy/dx by implicit differentiation. 2y - x + xy = 3 1-Y 2 + x X + 2 X + 2 O y+1 X + 2

Answer 1

Let's do the implicit differentiation:

`\begin{gathered} (d)/(dx)(2y-x+xy)=(d)/(dx)3 \\ (d)/(dx)(2y)-(d)/(dx)x+(d)/(dx)(xy)=0 \\ 2(dy)/(dx)-1+(y+x(dy)/(dx))=0 \\ 2(dy)/(dx)+x(dy)/(dx)=1-y \\ (2+x)(dy)/(dx)=1-y \\ (dy)/(dx)=(1-y)/(2+x) \end{gathered}`

Therefore, the answer is the first one.