Continuous function, second partial derivates, projection, inflection point, saddle pointsTheorem: Let f be a function with continuous second partial derivatives in a open set U in the plane and let (a,b) be a saddle point in U. Then there exists a continuous function y=g(x) with g(a)=b for which the projection on the xz plane of the intersection of the surface z=f(x,y) and the cylindrical surface y=g(x) has a inflection point at x=aComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática