I have a equation of a scalar field in the form
I want to find the curvature of the contour of the curve at fc=f(0.5,0.5).
So I need to calculate the derivative dy/dx and d/dx(dy/dx)
I can solve the equation f(x,y)=fc and get the derivative of f(x,y) w.r.t x
On paper we do,
d/dx (f(x,y))=d/dx(fc) 2*x+2*y*(dy/dx)+y+x(dy/dx)=0 (dy/dx)=-(2*x+y)/(x+2*y)
and further d/dx(dy/dx) for a curvature approximate
how can I rearrange the equation such that I can get the value of dy/dx on mathematica