Question

5xy=1 using dy/dx the answer should be -x/y i just need to know hp to get there

Answer 1

\[5y+5xy'=0\]
\[5xy'=-5y\]
\[y'=\frac{ -5y }{ 5x }\]
\[y'=-\frac{ y }{ x }\]

Answer 2

actually is -y/x