2.4.40 Graphing functions using derivatives
condition: Using differential calculus methods, study the function \( y=f(x) \) for \( \forall x \in R \) and build its graph based on the results of the study. \[ y=\frac{4 x}{4+x^{2}} \]
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.