If $y=y^2+5xy$ then derivative of y is?

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Answer 1 · 2018-06-13T07:42:02

$dy/dx=(5y)/(1-2y-5x)$

$dy/dx=-5$

Two ways to do this:
1. $d/dx[y]=d/dx[y^2]+5d/dx[xy]$

$d/dx=dy/dxd/dy$

$dy/dx=dy/dx2y+5y+dy/dx5x$

$dy/dx(1-2y-5x)=5y$

$dy/dx=(5y)/(1-2y-5x)$

$y=1-5x$

$dy/dx=-5$

If y=y^2+5xyy=y^2+5xy then derivative of y is?