2.4.18 Graphing functions using derivatives
\( \underline{\text { condition: }} \) Conduct a complete study of the function and build a graph: \[ f(x)=x e^{x} \]
The study of functions using differential calculus according to a given scheme - finding intervals of monotonicity, convexity, extremum points, vertical, horizontal and oblique asymptotes. Plotting graphs based on the research results.