Let F: ]0, +[infinity][R → R be the function F(x, y)=y(e**y +x) - In(x). Show: there exists a neighborhood I c R of the point x0 = 1 and a unique function f :1 →R such that. (1) f(1) = 0 and f e C1(1), (2) F(x, f(x)) = 0 for all x el. (fe C1(1), means that f is differentiable and that the derivative is continuous. )