
2.4.33 Graphing functions using derivatives
Condition: Conduct a complete study of this function and construct its graph: \[ y=\frac{x^{2}+1}{x} \]
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.