1 | initial version |
A variation on the Shashank'answer :
sage: z=var('z')
sage: f(z)=solve(x+z^2==1,x)[0].rhs()
sage: f
z |--> -z^2 + 1
sage: f.diff(z)
z |--> -2*z
sage: f.plot()
Here you consider the function "solution of the equation as function of z", and you do whatever with it.