There exists a fifth-order implicit function (curve) such that f(x,y)=a (a is a constant)
For example, x^5+x^4*y^1+x^3*y^2+x^2*y^3+x^1*y^4+y^5=10

There exists a 3-dimensional surface such that g(x,y)=z.
For example, z=x^5+xy+y^5

Next, find the cubic curve g(x,y)=z along f(x,y)=a

Then, on the curve z, we want to find (x,y) where dz/dx=0 and dz/dy=0.There exists a fifth-order implicit function (curve) such that f(x,y)=a (a is a constant)
For example, x^5+x^4*y^1+x^3*y^2+x^2*y^3+x^1*y^4+y^5=10

There exists a 3-dimensional surface such that g(x,y)=z.
For example, z=x^5+xy+y^5

Next, find the cubic curve g(x,y)=z along f(x,y)=a

Then, on the curve z, we want to find (x,y) where dz/dx=0 and dz/dy=0. There exists a fifth-order implicit function (curve) such that f(x,y)=a (a is a constant)
For example, x^5+x^4*y^1+x^3*y^2+x^2*y^3+x^1*y^4+y^5=10

There exists a 3-dimensional surface such that g(x,y)=z.
For example, z=x^5+xy+y^5

Next, find the cubic curve g(x,y)=z along f(x,y)=a

Then, on the curve z, we want to find (x,y) where dz/dx=0 and dz/dy=0. implicit function, 3d surface, 2d curve, diff MATLAB Answers — New Questions

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