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You can try this:

y=function('y',x) var('x,yy,z') f=xy+x^2-y^3x ff=f.diff(x).subs({y.diff(x):z,y:yy}) implicit_plot3d(ff,(x,-3,3),(yy,-3,3),(z,-4,4))

You can try this:

y=function('y',x) var('x,yy,z') var('x,yy,z')

f=xy+x^2-y^3x x

ff=f.diff(x).subs({y.diff(x):z,y:yy})

ff=f.diff(x).subs({y.diff(x):z,y:yy})

implicit_plot3d(ff,(x,-3,3),(yy,-3,3),(z,-4,4))

You can try this:

y=function('y',x)   

y=function('y',x) var('x,yy,z')

var('x,yy,z') f=x*y+x^2-y^3*x ff=f.diff(x).subs({y.diff(x):z,y:yy}) implicit_plot3d(ff,(x,-3,3),(yy,-3,3),(z,-4,4))

f=xy+x^2-y^3x

ff=f.diff(x).subs({y.diff(x):z,y:yy})

implicit_plot3d(ff,(x,-3,3),(yy,-3,3),(z,-4,4))

You can try this:

y=function('y',x) 
var('x,yy,z')
f=x*y+x^2-y^3*x
ff=f.diff(x).subs({y.diff(x):z,y:yy})
implicit_plot3d(ff,(x,-3,3),(yy,-3,3),(z,-4,4))

This way you avoid the "solve" issue.