
2.4.29 Graphing functions using derivatives
Condition: Conduct a complete study and plot the function. \[ y=\frac{x^{3}}{(x-2)^{2}} \]
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.